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Finding the Fourth Proportional to 531.98, 797.96 and 147.23

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Solution

The fourth proportional to 531.98, 797.96 and 147.23 is: 220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.98 : 797.96 = 147.23 : x
  2. Step 2: Convert to fraction form
    531.98/797.96 = 147.23/x
  3. Step 3: Cross multiply
    531.98x = 797.96 × 147.23
  4. Step 4: Simplify right side
    531.98x = 117,478.92
  5. Step 5: Solve for x
    x = 117,478.92/531.98
  6. Step 6: Final answer
    x = 220.84

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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.