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Finding the Fourth Proportional to 176.78, 265.04 and 85.52

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Solution

The fourth proportional to 176.78, 265.04 and 85.52 is: 128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 265.04 = 85.52 : x
  2. Step 2: Convert to fraction form
    176.78/265.04 = 85.52/x
  3. Step 3: Cross multiply
    176.78x = 265.04 × 85.52
  4. Step 4: Simplify right side
    176.78x = 22,666.22
  5. Step 5: Solve for x
    x = 22,666.22/176.78
  6. Step 6: Final answer
    x = 128.22

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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.