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Finding the Fourth Proportional to 311.15, 466.10 and 148.94

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Solution

The fourth proportional to 311.15, 466.10 and 148.94 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 466.10 = 148.94 : x
  2. Step 2: Convert to fraction form
    311.15/466.10 = 148.94/x
  3. Step 3: Cross multiply
    311.15x = 466.10 × 148.94
  4. Step 4: Simplify right side
    311.15x = 69,417.86
  5. Step 5: Solve for x
    x = 69,417.86/311.15
  6. Step 6: Final answer
    x = 223.10

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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.