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Finding the Fourth Proportional to 147.78, 220.50 and 145.35

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Solution

The fourth proportional to 147.78, 220.50 and 145.35 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 220.50 = 145.35 : x
  2. Step 2: Convert to fraction form
    147.78/220.50 = 145.35/x
  3. Step 3: Cross multiply
    147.78x = 220.50 × 145.35
  4. Step 4: Simplify right side
    147.78x = 32,049.68
  5. Step 5: Solve for x
    x = 32,049.68/147.78
  6. Step 6: Final answer
    x = 216.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.