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Finding the Fourth Proportional to 215.47, 297.29 and 145.56

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Solution

The fourth proportional to 215.47, 297.29 and 145.56 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 297.29 = 145.56 : x
  2. Step 2: Convert to fraction form
    215.47/297.29 = 145.56/x
  3. Step 3: Cross multiply
    215.47x = 297.29 × 145.56
  4. Step 4: Simplify right side
    215.47x = 43,273.17
  5. Step 5: Solve for x
    x = 43,273.17/215.47
  6. Step 6: Final answer
    x = 200.83

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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.