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Finding the Fourth Proportional to 492.48, 738.61 and 145.76

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Solution

The fourth proportional to 492.48, 738.61 and 145.76 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 738.61 = 145.76 : x
  2. Step 2: Convert to fraction form
    492.48/738.61 = 145.76/x
  3. Step 3: Cross multiply
    492.48x = 738.61 × 145.76
  4. Step 4: Simplify right side
    492.48x = 107,655.74
  5. Step 5: Solve for x
    x = 107,655.74/492.48
  6. Step 6: Final answer
    x = 218.60

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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.