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Finding the Fourth Proportional to 649.66, 974.51 and 162.72

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Solution

The fourth proportional to 649.66, 974.51 and 162.72 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.66 : 974.51 = 162.72 : x
  2. Step 2: Convert to fraction form
    649.66/974.51 = 162.72/x
  3. Step 3: Cross multiply
    649.66x = 974.51 × 162.72
  4. Step 4: Simplify right side
    649.66x = 158,572.06
  5. Step 5: Solve for x
    x = 158,572.06/649.66
  6. Step 6: Final answer
    x = 244.08

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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.