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Finding the Fourth Proportional to 215.47, 297.42 and 145.48

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Solution

The fourth proportional to 215.47, 297.42 and 145.48 is: 200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 297.42 = 145.48 : x
  2. Step 2: Convert to fraction form
    215.47/297.42 = 145.48/x
  3. Step 3: Cross multiply
    215.47x = 297.42 × 145.48
  4. Step 4: Simplify right side
    215.47x = 43,268.66
  5. Step 5: Solve for x
    x = 43,268.66/215.47
  6. Step 6: Final answer
    x = 200.81

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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.