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Finding the Fourth Proportional to 283.57, 425.25 and 135.31

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Solution

The fourth proportional to 283.57, 425.25 and 135.31 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 425.25 = 135.31 : x
  2. Step 2: Convert to fraction form
    283.57/425.25 = 135.31/x
  3. Step 3: Cross multiply
    283.57x = 425.25 × 135.31
  4. Step 4: Simplify right side
    283.57x = 57,539.51
  5. Step 5: Solve for x
    x = 57,539.51/283.57
  6. Step 6: Final answer
    x = 202.91

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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.