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Finding the Fourth Proportional to 282.90, 423.72 and 210.90

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Solution

The fourth proportional to 282.90, 423.72 and 210.90 is: 315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 423.72 = 210.90 : x
  2. Step 2: Convert to fraction form
    282.90/423.72 = 210.90/x
  3. Step 3: Cross multiply
    282.90x = 423.72 × 210.90
  4. Step 4: Simplify right side
    282.90x = 89,362.55
  5. Step 5: Solve for x
    x = 89,362.55/282.90
  6. Step 6: Final answer
    x = 315.88

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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.