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Finding the Fourth Proportional to 178.45, 266.97 and 142

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Solution

The fourth proportional to 178.45, 266.97 and 142 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 266.97 = 142 : x
  2. Step 2: Convert to fraction form
    178.45/266.97 = 142/x
  3. Step 3: Cross multiply
    178.45x = 266.97 × 142
  4. Step 4: Simplify right side
    178.45x = 37,909.74
  5. Step 5: Solve for x
    x = 37,909.74/178.45
  6. Step 6: Final answer
    x = 212.44

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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.