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Finding the Fourth Proportional to 178.04, 245.74 and 115.76

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Solution

The fourth proportional to 178.04, 245.74 and 115.76 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 245.74 = 115.76 : x
  2. Step 2: Convert to fraction form
    178.04/245.74 = 115.76/x
  3. Step 3: Cross multiply
    178.04x = 245.74 × 115.76
  4. Step 4: Simplify right side
    178.04x = 28,447.62
  5. Step 5: Solve for x
    x = 28,447.62/178.04
  6. Step 6: Final answer
    x = 159.78

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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.