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Finding the Fourth Proportional to 310.94, 466.40 and 91.57

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Solution

The fourth proportional to 310.94, 466.40 and 91.57 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.94 : 466.40 = 91.57 : x
  2. Step 2: Convert to fraction form
    310.94/466.40 = 91.57/x
  3. Step 3: Cross multiply
    310.94x = 466.40 × 91.57
  4. Step 4: Simplify right side
    310.94x = 42,708.25
  5. Step 5: Solve for x
    x = 42,708.25/310.94
  6. Step 6: Final answer
    x = 137.35

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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.