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Finding the Fourth Proportional to 493.64, 740.46 and 147.00

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Solution

The fourth proportional to 493.64, 740.46 and 147.00 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.64 : 740.46 = 147.00 : x
  2. Step 2: Convert to fraction form
    493.64/740.46 = 147.00/x
  3. Step 3: Cross multiply
    493.64x = 740.46 × 147.00
  4. Step 4: Simplify right side
    493.64x = 108,850.95
  5. Step 5: Solve for x
    x = 108,850.95/493.64
  6. Step 6: Final answer
    x = 220.51

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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.