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Finding the Fourth Proportional to 282.78, 424.16 and 152.58

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Solution

The fourth proportional to 282.78, 424.16 and 152.58 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 424.16 = 152.58 : x
  2. Step 2: Convert to fraction form
    282.78/424.16 = 152.58/x
  3. Step 3: Cross multiply
    282.78x = 424.16 × 152.58
  4. Step 4: Simplify right side
    282.78x = 64,718.33
  5. Step 5: Solve for x
    x = 64,718.33/282.78
  6. Step 6: Final answer
    x = 228.86

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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.