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Finding the Fourth Proportional to 176.61, 265.02 and 68.41

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Solution

The fourth proportional to 176.61, 265.02 and 68.41 is: 102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.61 : 265.02 = 68.41 : x
  2. Step 2: Convert to fraction form
    176.61/265.02 = 68.41/x
  3. Step 3: Cross multiply
    176.61x = 265.02 × 68.41
  4. Step 4: Simplify right side
    176.61x = 18,128.35
  5. Step 5: Solve for x
    x = 18,128.35/176.61
  6. Step 6: Final answer
    x = 102.65

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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.