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Finding the Fourth Proportional to 215.02, 296.73 and 116.78

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Solution

The fourth proportional to 215.02, 296.73 and 116.78 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.02 : 296.73 = 116.78 : x
  2. Step 2: Convert to fraction form
    215.02/296.73 = 116.78/x
  3. Step 3: Cross multiply
    215.02x = 296.73 × 116.78
  4. Step 4: Simplify right side
    215.02x = 34,650.06
  5. Step 5: Solve for x
    x = 34,650.06/215.02
  6. Step 6: Final answer
    x = 161.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.