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Finding the Fourth Proportional to 177.92, 265.34 and 152.41

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Solution

The fourth proportional to 177.92, 265.34 and 152.41 is: 227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.92 : 265.34 = 152.41 : x
  2. Step 2: Convert to fraction form
    177.92/265.34 = 152.41/x
  3. Step 3: Cross multiply
    177.92x = 265.34 × 152.41
  4. Step 4: Simplify right side
    177.92x = 40,440.47
  5. Step 5: Solve for x
    x = 40,440.47/177.92
  6. Step 6: Final answer
    x = 227.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.