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Finding the Fourth Proportional to 282.41, 389.71 and 158.07

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Solution

The fourth proportional to 282.41, 389.71 and 158.07 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 389.71 = 158.07 : x
  2. Step 2: Convert to fraction form
    282.41/389.71 = 158.07/x
  3. Step 3: Cross multiply
    282.41x = 389.71 × 158.07
  4. Step 4: Simplify right side
    282.41x = 61,600.20
  5. Step 5: Solve for x
    x = 61,600.20/282.41
  6. Step 6: Final answer
    x = 218.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.