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Finding the Fourth Proportional to 310.95, 466.51 and 91.58

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Solution

The fourth proportional to 310.95, 466.51 and 91.58 is: 137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.95 : 466.51 = 91.58 : x
  2. Step 2: Convert to fraction form
    310.95/466.51 = 91.58/x
  3. Step 3: Cross multiply
    310.95x = 466.51 × 91.58
  4. Step 4: Simplify right side
    310.95x = 42,723.92
  5. Step 5: Solve for x
    x = 42,723.92/310.95
  6. Step 6: Final answer
    x = 137.40

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