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Finding the Fourth Proportional to 178.16, 245.86 and 100.53

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Solution

The fourth proportional to 178.16, 245.86 and 100.53 is: 138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 245.86 = 100.53 : x
  2. Step 2: Convert to fraction form
    178.16/245.86 = 100.53/x
  3. Step 3: Cross multiply
    178.16x = 245.86 × 100.53
  4. Step 4: Simplify right side
    178.16x = 24,716.42
  5. Step 5: Solve for x
    x = 24,716.42/178.16
  6. Step 6: Final answer
    x = 138.73

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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.