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Finding the Fourth Proportional to 228.05, 314.71 and 129.81

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Solution

The fourth proportional to 228.05, 314.71 and 129.81 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.05 : 314.71 = 129.81 : x
  2. Step 2: Convert to fraction form
    228.05/314.71 = 129.81/x
  3. Step 3: Cross multiply
    228.05x = 314.71 × 129.81
  4. Step 4: Simplify right side
    228.05x = 40,850.93
  5. Step 5: Solve for x
    x = 40,850.93/228.05
  6. Step 6: Final answer
    x = 179.13

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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.