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Finding the Fourth Proportional to 177.41, 266.12 and 49.16

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Solution

The fourth proportional to 177.41, 266.12 and 49.16 is: 73.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 266.12 = 49.16 : x
  2. Step 2: Convert to fraction form
    177.41/266.12 = 49.16/x
  3. Step 3: Cross multiply
    177.41x = 266.12 × 49.16
  4. Step 4: Simplify right side
    177.41x = 13,082.46
  5. Step 5: Solve for x
    x = 13,082.46/177.41
  6. Step 6: Final answer
    x = 73.74

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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.