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Finding the Fourth Proportional to 282.93, 424.46 and 87.93

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Solution

The fourth proportional to 282.93, 424.46 and 87.93 is: 131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 424.46 = 87.93 : x
  2. Step 2: Convert to fraction form
    282.93/424.46 = 87.93/x
  3. Step 3: Cross multiply
    282.93x = 424.46 × 87.93
  4. Step 4: Simplify right side
    282.93x = 37,322.33
  5. Step 5: Solve for x
    x = 37,322.33/282.93
  6. Step 6: Final answer
    x = 131.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.