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Finding the Fourth Proportional to 282.64, 387.46 and 278.16

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Solution

The fourth proportional to 282.64, 387.46 and 278.16 is: 381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.64 : 387.46 = 278.16 : x
  2. Step 2: Convert to fraction form
    282.64/387.46 = 278.16/x
  3. Step 3: Cross multiply
    282.64x = 387.46 × 278.16
  4. Step 4: Simplify right side
    282.64x = 107,775.87
  5. Step 5: Solve for x
    x = 107,775.87/282.64
  6. Step 6: Final answer
    x = 381.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.