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Finding the Fourth Proportional to 282.02, 425.27 and 278.16

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Solution

The fourth proportional to 282.02, 425.27 and 278.16 is: 419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 425.27 = 278.16 : x
  2. Step 2: Convert to fraction form
    282.02/425.27 = 278.16/x
  3. Step 3: Cross multiply
    282.02x = 425.27 × 278.16
  4. Step 4: Simplify right side
    282.02x = 118,291.71
  5. Step 5: Solve for x
    x = 118,291.71/282.02
  6. Step 6: Final answer
    x = 419.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.