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Finding the Fourth Proportional to 176.85, 265.34 and 85.63

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Solution

The fourth proportional to 176.85, 265.34 and 85.63 is: 128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 265.34 = 85.63 : x
  2. Step 2: Convert to fraction form
    176.85/265.34 = 85.63/x
  3. Step 3: Cross multiply
    176.85x = 265.34 × 85.63
  4. Step 4: Simplify right side
    176.85x = 22,721.06
  5. Step 5: Solve for x
    x = 22,721.06/176.85
  6. Step 6: Final answer
    x = 128.48

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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.