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Finding the Fourth Proportional to 178.03, 266.95 and 62.46

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Solution

The fourth proportional to 178.03, 266.95 and 62.46 is: 93.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 266.95 = 62.46 : x
  2. Step 2: Convert to fraction form
    178.03/266.95 = 62.46/x
  3. Step 3: Cross multiply
    178.03x = 266.95 × 62.46
  4. Step 4: Simplify right side
    178.03x = 16,673.70
  5. Step 5: Solve for x
    x = 16,673.70/178.03
  6. Step 6: Final answer
    x = 93.66

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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.