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Finding the Fourth Proportional to 177.08, 264.24 and 158.92

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Solution

The fourth proportional to 177.08, 264.24 and 158.92 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 264.24 = 158.92 : x
  2. Step 2: Convert to fraction form
    177.08/264.24 = 158.92/x
  3. Step 3: Cross multiply
    177.08x = 264.24 × 158.92
  4. Step 4: Simplify right side
    177.08x = 41,993.02
  5. Step 5: Solve for x
    x = 41,993.02/177.08
  6. Step 6: Final answer
    x = 237.14

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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.