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Finding the Fourth Proportional to 281.70, 387.84 and 232.50

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Solution

The fourth proportional to 281.70, 387.84 and 232.50 is: 320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.70 : 387.84 = 232.50 : x
  2. Step 2: Convert to fraction form
    281.70/387.84 = 232.50/x
  3. Step 3: Cross multiply
    281.70x = 387.84 × 232.50
  4. Step 4: Simplify right side
    281.70x = 90,172.80
  5. Step 5: Solve for x
    x = 90,172.80/281.70
  6. Step 6: Final answer
    x = 320.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.