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Finding the Fourth Proportional to 795.00, 1,192.37 and 210.01

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Solution

The fourth proportional to 795.00, 1,192.37 and 210.01 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.00 : 1,192.37 = 210.01 : x
  2. Step 2: Convert to fraction form
    795.00/1,192.37 = 210.01/x
  3. Step 3: Cross multiply
    795.00x = 1,192.37 × 210.01
  4. Step 4: Simplify right side
    795.00x = 250,410.85
  5. Step 5: Solve for x
    x = 250,410.85/795.00
  6. Step 6: Final answer
    x = 314.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.