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Finding the Fourth Proportional to 378.01, 566.58 and 195.01

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Solution

The fourth proportional to 378.01, 566.58 and 195.01 is: 292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.01 : 566.58 = 195.01 : x
  2. Step 2: Convert to fraction form
    378.01/566.58 = 195.01/x
  3. Step 3: Cross multiply
    378.01x = 566.58 × 195.01
  4. Step 4: Simplify right side
    378.01x = 110,488.77
  5. Step 5: Solve for x
    x = 110,488.77/378.01
  6. Step 6: Final answer
    x = 292.29

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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.