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Finding the Fourth Proportional to 283.23, 390.82 and 158.89

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Solution

The fourth proportional to 283.23, 390.82 and 158.89 is: 219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 390.82 = 158.89 : x
  2. Step 2: Convert to fraction form
    283.23/390.82 = 158.89/x
  3. Step 3: Cross multiply
    283.23x = 390.82 × 158.89
  4. Step 4: Simplify right side
    283.23x = 62,095.44
  5. Step 5: Solve for x
    x = 62,095.44/283.23
  6. Step 6: Final answer
    x = 219.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.