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Finding the Fourth Proportional to 253.42, 348.46 and 216.52

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Solution

The fourth proportional to 253.42, 348.46 and 216.52 is: 297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.42 : 348.46 = 216.52 : x
  2. Step 2: Convert to fraction form
    253.42/348.46 = 216.52/x
  3. Step 3: Cross multiply
    253.42x = 348.46 × 216.52
  4. Step 4: Simplify right side
    253.42x = 75,445.73
  5. Step 5: Solve for x
    x = 75,445.73/253.42
  6. Step 6: Final answer
    x = 297.71

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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.