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Finding the Fourth Proportional to 225.47, 338.14 and 102

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Solution

The fourth proportional to 225.47, 338.14 and 102 is: 152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.47 : 338.14 = 102 : x
  2. Step 2: Convert to fraction form
    225.47/338.14 = 102/x
  3. Step 3: Cross multiply
    225.47x = 338.14 × 102
  4. Step 4: Simplify right side
    225.47x = 34,490.28
  5. Step 5: Solve for x
    x = 34,490.28/225.47
  6. Step 6: Final answer
    x = 152.97

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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.