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Finding the Fourth Proportional to 282.60, 423.96 and 97.51

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Solution

The fourth proportional to 282.60, 423.96 and 97.51 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.60 : 423.96 = 97.51 : x
  2. Step 2: Convert to fraction form
    282.60/423.96 = 97.51/x
  3. Step 3: Cross multiply
    282.60x = 423.96 × 97.51
  4. Step 4: Simplify right side
    282.60x = 41,339.52
  5. Step 5: Solve for x
    x = 41,339.52/282.60
  6. Step 6: Final answer
    x = 146.28

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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.