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Finding the Fourth Proportional to 310.85, 466.67 and 157.08

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Solution

The fourth proportional to 310.85, 466.67 and 157.08 is: 235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.85 : 466.67 = 157.08 : x
  2. Step 2: Convert to fraction form
    310.85/466.67 = 157.08/x
  3. Step 3: Cross multiply
    310.85x = 466.67 × 157.08
  4. Step 4: Simplify right side
    310.85x = 73,304.52
  5. Step 5: Solve for x
    x = 73,304.52/310.85
  6. Step 6: Final answer
    x = 235.82

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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.