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Finding the Fourth Proportional to 282.42, 423.72 and 145.44

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Solution

The fourth proportional to 282.42, 423.72 and 145.44 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 423.72 = 145.44 : x
  2. Step 2: Convert to fraction form
    282.42/423.72 = 145.44/x
  3. Step 3: Cross multiply
    282.42x = 423.72 × 145.44
  4. Step 4: Simplify right side
    282.42x = 61,625.84
  5. Step 5: Solve for x
    x = 61,625.84/282.42
  6. Step 6: Final answer
    x = 218.21

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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.