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Finding the Fourth Proportional to 282.66, 424.23 and 145.80

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Solution

The fourth proportional to 282.66, 424.23 and 145.80 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.66 : 424.23 = 145.80 : x
  2. Step 2: Convert to fraction form
    282.66/424.23 = 145.80/x
  3. Step 3: Cross multiply
    282.66x = 424.23 × 145.80
  4. Step 4: Simplify right side
    282.66x = 61,852.73
  5. Step 5: Solve for x
    x = 61,852.73/282.66
  6. Step 6: Final answer
    x = 218.82

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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.