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Finding the Fourth Proportional to 211.13, 316.76 and 148.85

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Solution

The fourth proportional to 211.13, 316.76 and 148.85 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 316.76 = 148.85 : x
  2. Step 2: Convert to fraction form
    211.13/316.76 = 148.85/x
  3. Step 3: Cross multiply
    211.13x = 316.76 × 148.85
  4. Step 4: Simplify right side
    211.13x = 47,148.98
  5. Step 5: Solve for x
    x = 47,148.98/211.13
  6. Step 6: Final answer
    x = 223.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.