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Finding the Fourth Proportional to 147, 220.46 and 65.78

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Solution

The fourth proportional to 147, 220.46 and 65.78 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 220.46 = 65.78 : x
  2. Step 2: Convert to fraction form
    147/220.46 = 65.78/x
  3. Step 3: Cross multiply
    147x = 220.46 × 65.78
  4. Step 4: Simplify right side
    147x = 14,501.86
  5. Step 5: Solve for x
    x = 14,501.86/147
  6. Step 6: Final answer
    x = 98.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.