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Finding the Fourth Proportional to 177.41, 264.69 and 160.11

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Solution

The fourth proportional to 177.41, 264.69 and 160.11 is: 238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 264.69 = 160.11 : x
  2. Step 2: Convert to fraction form
    177.41/264.69 = 160.11/x
  3. Step 3: Cross multiply
    177.41x = 264.69 × 160.11
  4. Step 4: Simplify right side
    177.41x = 42,379.52
  5. Step 5: Solve for x
    x = 42,379.52/177.41
  6. Step 6: Final answer
    x = 238.88

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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.