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Finding the Fourth Proportional to 310.96, 466.53 and 116.02

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Solution

The fourth proportional to 310.96, 466.53 and 116.02 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.96 : 466.53 = 116.02 : x
  2. Step 2: Convert to fraction form
    310.96/466.53 = 116.02/x
  3. Step 3: Cross multiply
    310.96x = 466.53 × 116.02
  4. Step 4: Simplify right side
    310.96x = 54,126.81
  5. Step 5: Solve for x
    x = 54,126.81/310.96
  6. Step 6: Final answer
    x = 174.06

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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.