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Finding the Fourth Proportional to 178.96, 266.16 and 177.04

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Solution

The fourth proportional to 178.96, 266.16 and 177.04 is: 263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 266.16 = 177.04 : x
  2. Step 2: Convert to fraction form
    178.96/266.16 = 177.04/x
  3. Step 3: Cross multiply
    178.96x = 266.16 × 177.04
  4. Step 4: Simplify right side
    178.96x = 47,120.97
  5. Step 5: Solve for x
    x = 47,120.97/178.96
  6. Step 6: Final answer
    x = 263.30

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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.