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Finding the Fourth Proportional to 178.32, 266.70 and 130.20

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Solution

The fourth proportional to 178.32, 266.70 and 130.20 is: 194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.32 : 266.70 = 130.20 : x
  2. Step 2: Convert to fraction form
    178.32/266.70 = 130.20/x
  3. Step 3: Cross multiply
    178.32x = 266.70 × 130.20
  4. Step 4: Simplify right side
    178.32x = 34,724.34
  5. Step 5: Solve for x
    x = 34,724.34/178.32
  6. Step 6: Final answer
    x = 194.73

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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.