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Finding the Fourth Proportional to 228.68, 315.63 and 130.44

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Solution

The fourth proportional to 228.68, 315.63 and 130.44 is: 180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.68 : 315.63 = 130.44 : x
  2. Step 2: Convert to fraction form
    228.68/315.63 = 130.44/x
  3. Step 3: Cross multiply
    228.68x = 315.63 × 130.44
  4. Step 4: Simplify right side
    228.68x = 41,170.78
  5. Step 5: Solve for x
    x = 41,170.78/228.68
  6. Step 6: Final answer
    x = 180.04

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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.