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Finding the Fourth Proportional to 228.99, 316.13 and 166.76

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Solution

The fourth proportional to 228.99, 316.13 and 166.76 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.99 : 316.13 = 166.76 : x
  2. Step 2: Convert to fraction form
    228.99/316.13 = 166.76/x
  3. Step 3: Cross multiply
    228.99x = 316.13 × 166.76
  4. Step 4: Simplify right side
    228.99x = 52,715.42
  5. Step 5: Solve for x
    x = 52,715.42/228.99
  6. Step 6: Final answer
    x = 230.21

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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.