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Finding the Fourth Proportional to 143.96, 215.52 and 118.28

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Solution

The fourth proportional to 143.96, 215.52 and 118.28 is: 177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 215.52 = 118.28 : x
  2. Step 2: Convert to fraction form
    143.96/215.52 = 118.28/x
  3. Step 3: Cross multiply
    143.96x = 215.52 × 118.28
  4. Step 4: Simplify right side
    143.96x = 25,491.71
  5. Step 5: Solve for x
    x = 25,491.71/143.96
  6. Step 6: Final answer
    x = 177.07

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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.