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Finding the Fourth Proportional to 178.18, 265.31 and 177.64

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Solution

The fourth proportional to 178.18, 265.31 and 177.64 is: 264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.18 : 265.31 = 177.64 : x
  2. Step 2: Convert to fraction form
    178.18/265.31 = 177.64/x
  3. Step 3: Cross multiply
    178.18x = 265.31 × 177.64
  4. Step 4: Simplify right side
    178.18x = 47,129.67
  5. Step 5: Solve for x
    x = 47,129.67/178.18
  6. Step 6: Final answer
    x = 264.51

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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.