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Finding the Fourth Proportional to 178.72, 266.60 and 167.68

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Solution

The fourth proportional to 178.72, 266.60 and 167.68 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.72 : 266.60 = 167.68 : x
  2. Step 2: Convert to fraction form
    178.72/266.60 = 167.68/x
  3. Step 3: Cross multiply
    178.72x = 266.60 × 167.68
  4. Step 4: Simplify right side
    178.72x = 44,703.49
  5. Step 5: Solve for x
    x = 44,703.49/178.72
  6. Step 6: Final answer
    x = 250.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.