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Finding the Fourth Proportional to 215.38, 296.80 and 156.27

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Solution

The fourth proportional to 215.38, 296.80 and 156.27 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.38 : 296.80 = 156.27 : x
  2. Step 2: Convert to fraction form
    215.38/296.80 = 156.27/x
  3. Step 3: Cross multiply
    215.38x = 296.80 × 156.27
  4. Step 4: Simplify right side
    215.38x = 46,378.67
  5. Step 5: Solve for x
    x = 46,378.67/215.38
  6. Step 6: Final answer
    x = 215.33

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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.