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Finding the Fourth Proportional to 282.84, 424.04 and 145.68

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Solution

The fourth proportional to 282.84, 424.04 and 145.68 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 424.04 = 145.68 : x
  2. Step 2: Convert to fraction form
    282.84/424.04 = 145.68/x
  3. Step 3: Cross multiply
    282.84x = 424.04 × 145.68
  4. Step 4: Simplify right side
    282.84x = 61,774.15
  5. Step 5: Solve for x
    x = 61,774.15/282.84
  6. Step 6: Final answer
    x = 218.41

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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.