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Finding the Fourth Proportional to 283.51, 424.99 and 144.62

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Solution

The fourth proportional to 283.51, 424.99 and 144.62 is: 216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.51 : 424.99 = 144.62 : x
  2. Step 2: Convert to fraction form
    283.51/424.99 = 144.62/x
  3. Step 3: Cross multiply
    283.51x = 424.99 × 144.62
  4. Step 4: Simplify right side
    283.51x = 61,461.70
  5. Step 5: Solve for x
    x = 61,461.70/283.51
  6. Step 6: Final answer
    x = 216.79

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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.