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Finding the Fourth Proportional to 310.89, 466.08 and 144.14

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Solution

The fourth proportional to 310.89, 466.08 and 144.14 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.89 : 466.08 = 144.14 : x
  2. Step 2: Convert to fraction form
    310.89/466.08 = 144.14/x
  3. Step 3: Cross multiply
    310.89x = 466.08 × 144.14
  4. Step 4: Simplify right side
    310.89x = 67,178.44
  5. Step 5: Solve for x
    x = 67,178.44/310.89
  6. Step 6: Final answer
    x = 216.08

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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.