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Finding the Fourth Proportional to 228.09, 314.61 and 140.81

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Solution

The fourth proportional to 228.09, 314.61 and 140.81 is: 194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 314.61 = 140.81 : x
  2. Step 2: Convert to fraction form
    228.09/314.61 = 140.81/x
  3. Step 3: Cross multiply
    228.09x = 314.61 × 140.81
  4. Step 4: Simplify right side
    228.09x = 44,298.66
  5. Step 5: Solve for x
    x = 44,298.66/228.09
  6. Step 6: Final answer
    x = 194.22

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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.