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Finding the Fourth Proportional to 282.93, 422.51 and 242.02

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Solution

The fourth proportional to 282.93, 422.51 and 242.02 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 422.51 = 242.02 : x
  2. Step 2: Convert to fraction form
    282.93/422.51 = 242.02/x
  3. Step 3: Cross multiply
    282.93x = 422.51 × 242.02
  4. Step 4: Simplify right side
    282.93x = 102,255.87
  5. Step 5: Solve for x
    x = 102,255.87/282.93
  6. Step 6: Final answer
    x = 361.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.