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Finding the Fourth Proportional to 176.66, 265.06 and 85.36

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Solution

The fourth proportional to 176.66, 265.06 and 85.36 is: 128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.66 : 265.06 = 85.36 : x
  2. Step 2: Convert to fraction form
    176.66/265.06 = 85.36/x
  3. Step 3: Cross multiply
    176.66x = 265.06 × 85.36
  4. Step 4: Simplify right side
    176.66x = 22,625.52
  5. Step 5: Solve for x
    x = 22,625.52/176.66
  6. Step 6: Final answer
    x = 128.07

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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.