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Finding the Fourth Proportional to 178.20, 245.75 and 158.55

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Solution

The fourth proportional to 178.20, 245.75 and 158.55 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 245.75 = 158.55 : x
  2. Step 2: Convert to fraction form
    178.20/245.75 = 158.55/x
  3. Step 3: Cross multiply
    178.20x = 245.75 × 158.55
  4. Step 4: Simplify right side
    178.20x = 38,962.87
  5. Step 5: Solve for x
    x = 38,962.87/178.20
  6. Step 6: Final answer
    x = 218.65

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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.