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Finding the Fourth Proportional to 178.20, 265.14 and 177.56

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Solution

The fourth proportional to 178.20, 265.14 and 177.56 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 265.14 = 177.56 : x
  2. Step 2: Convert to fraction form
    178.20/265.14 = 177.56/x
  3. Step 3: Cross multiply
    178.20x = 265.14 × 177.56
  4. Step 4: Simplify right side
    178.20x = 47,078.26
  5. Step 5: Solve for x
    x = 47,078.26/178.20
  6. Step 6: Final answer
    x = 264.19

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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.