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Finding the Fourth Proportional to 282.90, 423.55 and 230.53

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Solution

The fourth proportional to 282.90, 423.55 and 230.53 is: 345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 423.55 = 230.53 : x
  2. Step 2: Convert to fraction form
    282.90/423.55 = 230.53/x
  3. Step 3: Cross multiply
    282.90x = 423.55 × 230.53
  4. Step 4: Simplify right side
    282.90x = 97,640.98
  5. Step 5: Solve for x
    x = 97,640.98/282.90
  6. Step 6: Final answer
    x = 345.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.