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Finding the Fourth Proportional to 225.00, 310.32 and 142.08

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Solution

The fourth proportional to 225.00, 310.32 and 142.08 is: 195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.00 : 310.32 = 142.08 : x
  2. Step 2: Convert to fraction form
    225.00/310.32 = 142.08/x
  3. Step 3: Cross multiply
    225.00x = 310.32 × 142.08
  4. Step 4: Simplify right side
    225.00x = 44,089.77
  5. Step 5: Solve for x
    x = 44,089.77/225.00
  6. Step 6: Final answer
    x = 195.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.