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Finding the Fourth Proportional to 282.70, 390.14 and 158.36

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Solution

The fourth proportional to 282.70, 390.14 and 158.36 is: 218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 390.14 = 158.36 : x
  2. Step 2: Convert to fraction form
    282.70/390.14 = 158.36/x
  3. Step 3: Cross multiply
    282.70x = 390.14 × 158.36
  4. Step 4: Simplify right side
    282.70x = 61,782.57
  5. Step 5: Solve for x
    x = 61,782.57/282.70
  6. Step 6: Final answer
    x = 218.54

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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.