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Finding the Fourth Proportional to 280.40, 387.33 and 224.51

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Solution

The fourth proportional to 280.40, 387.33 and 224.51 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 387.33 = 224.51 : x
  2. Step 2: Convert to fraction form
    280.40/387.33 = 224.51/x
  3. Step 3: Cross multiply
    280.40x = 387.33 × 224.51
  4. Step 4: Simplify right side
    280.40x = 86,959.46
  5. Step 5: Solve for x
    x = 86,959.46/280.40
  6. Step 6: Final answer
    x = 310.13

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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.