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Finding the Fourth Proportional to 225.31, 337.66 and 117.18

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Solution

The fourth proportional to 225.31, 337.66 and 117.18 is: 175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.31 : 337.66 = 117.18 : x
  2. Step 2: Convert to fraction form
    225.31/337.66 = 117.18/x
  3. Step 3: Cross multiply
    225.31x = 337.66 × 117.18
  4. Step 4: Simplify right side
    225.31x = 39,567.00
  5. Step 5: Solve for x
    x = 39,567.00/225.31
  6. Step 6: Final answer
    x = 175.61

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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.