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Finding the Fourth Proportional to 177.46, 265.61 and 160.62

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Solution

The fourth proportional to 177.46, 265.61 and 160.62 is: 240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 265.61 = 160.62 : x
  2. Step 2: Convert to fraction form
    177.46/265.61 = 160.62/x
  3. Step 3: Cross multiply
    177.46x = 265.61 × 160.62
  4. Step 4: Simplify right side
    177.46x = 42,662.28
  5. Step 5: Solve for x
    x = 42,662.28/177.46
  6. Step 6: Final answer
    x = 240.41

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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.