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Finding the Fourth Proportional to 228.10, 314.80 and 129.86

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Solution

The fourth proportional to 228.10, 314.80 and 129.86 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.10 : 314.80 = 129.86 : x
  2. Step 2: Convert to fraction form
    228.10/314.80 = 129.86/x
  3. Step 3: Cross multiply
    228.10x = 314.80 × 129.86
  4. Step 4: Simplify right side
    228.10x = 40,879.93
  5. Step 5: Solve for x
    x = 40,879.93/228.10
  6. Step 6: Final answer
    x = 179.22

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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.