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Finding the Fourth Proportional to 232.32, 319.68 and 214.08

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Solution

The fourth proportional to 232.32, 319.68 and 214.08 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 319.68 = 214.08 : x
  2. Step 2: Convert to fraction form
    232.32/319.68 = 214.08/x
  3. Step 3: Cross multiply
    232.32x = 319.68 × 214.08
  4. Step 4: Simplify right side
    232.32x = 68,437.09
  5. Step 5: Solve for x
    x = 68,437.09/232.32
  6. Step 6: Final answer
    x = 294.58

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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.