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Finding the Fourth Proportional to 653.47, 980.14 and 166.53

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Solution

The fourth proportional to 653.47, 980.14 and 166.53 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.47 : 980.14 = 166.53 : x
  2. Step 2: Convert to fraction form
    653.47/980.14 = 166.53/x
  3. Step 3: Cross multiply
    653.47x = 980.14 × 166.53
  4. Step 4: Simplify right side
    653.47x = 163,222.71
  5. Step 5: Solve for x
    x = 163,222.71/653.47
  6. Step 6: Final answer
    x = 249.78

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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.