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Finding the Fourth Proportional to 493.50, 740.40 and 169.10

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Solution

The fourth proportional to 493.50, 740.40 and 169.10 is: 253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.50 : 740.40 = 169.10 : x
  2. Step 2: Convert to fraction form
    493.50/740.40 = 169.10/x
  3. Step 3: Cross multiply
    493.50x = 740.40 × 169.10
  4. Step 4: Simplify right side
    493.50x = 125,201.64
  5. Step 5: Solve for x
    x = 125,201.64/493.50
  6. Step 6: Final answer
    x = 253.70

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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.