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Finding the Fourth Proportional to 281.17, 420.17 and 189.10

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Solution

The fourth proportional to 281.17, 420.17 and 189.10 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.17 : 420.17 = 189.10 : x
  2. Step 2: Convert to fraction form
    281.17/420.17 = 189.10/x
  3. Step 3: Cross multiply
    281.17x = 420.17 × 189.10
  4. Step 4: Simplify right side
    281.17x = 79,454.15
  5. Step 5: Solve for x
    x = 79,454.15/281.17
  6. Step 6: Final answer
    x = 282.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.