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Finding the Fourth Proportional to 178.99, 247.02 and 100.32

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Solution

The fourth proportional to 178.99, 247.02 and 100.32 is: 138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.99 : 247.02 = 100.32 : x
  2. Step 2: Convert to fraction form
    178.99/247.02 = 100.32/x
  3. Step 3: Cross multiply
    178.99x = 247.02 × 100.32
  4. Step 4: Simplify right side
    178.99x = 24,781.13
  5. Step 5: Solve for x
    x = 24,781.13/178.99
  6. Step 6: Final answer
    x = 138.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.