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Finding the Fourth Proportional to 177.30, 265.50 and 128.61

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Solution

The fourth proportional to 177.30, 265.50 and 128.61 is: 192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 265.50 = 128.61 : x
  2. Step 2: Convert to fraction form
    177.30/265.50 = 128.61/x
  3. Step 3: Cross multiply
    177.30x = 265.50 × 128.61
  4. Step 4: Simplify right side
    177.30x = 34,145.96
  5. Step 5: Solve for x
    x = 34,145.96/177.30
  6. Step 6: Final answer
    x = 192.59

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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.