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Finding the Fourth Proportional to 228.41, 315.19 and 130.15

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Solution

The fourth proportional to 228.41, 315.19 and 130.15 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.41 : 315.19 = 130.15 : x
  2. Step 2: Convert to fraction form
    228.41/315.19 = 130.15/x
  3. Step 3: Cross multiply
    228.41x = 315.19 × 130.15
  4. Step 4: Simplify right side
    228.41x = 41,021.98
  5. Step 5: Solve for x
    x = 41,021.98/228.41
  6. Step 6: Final answer
    x = 179.60

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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.