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Finding the Fourth Proportional to 279.93, 420.30 and 232.14

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Solution

The fourth proportional to 279.93, 420.30 and 232.14 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 420.30 = 232.14 : x
  2. Step 2: Convert to fraction form
    279.93/420.30 = 232.14/x
  3. Step 3: Cross multiply
    279.93x = 420.30 × 232.14
  4. Step 4: Simplify right side
    279.93x = 97,568.44
  5. Step 5: Solve for x
    x = 97,568.44/279.93
  6. Step 6: Final answer
    x = 348.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.