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Finding the Fourth Proportional to 282.49, 423.16 and 145.33

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Solution

The fourth proportional to 282.49, 423.16 and 145.33 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.49 : 423.16 = 145.33 : x
  2. Step 2: Convert to fraction form
    282.49/423.16 = 145.33/x
  3. Step 3: Cross multiply
    282.49x = 423.16 × 145.33
  4. Step 4: Simplify right side
    282.49x = 61,496.42
  5. Step 5: Solve for x
    x = 61,496.42/282.49
  6. Step 6: Final answer
    x = 217.70

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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.