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Finding the Fourth Proportional to 228.14, 314.70 and 166.12

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Solution

The fourth proportional to 228.14, 314.70 and 166.12 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 314.70 = 166.12 : x
  2. Step 2: Convert to fraction form
    228.14/314.70 = 166.12/x
  3. Step 3: Cross multiply
    228.14x = 314.70 × 166.12
  4. Step 4: Simplify right side
    228.14x = 52,277.96
  5. Step 5: Solve for x
    x = 52,277.96/228.14
  6. Step 6: Final answer
    x = 229.15

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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.