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Finding the Fourth Proportional to 310.71, 466.16 and 180.68

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Solution

The fourth proportional to 310.71, 466.16 and 180.68 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 466.16 = 180.68 : x
  2. Step 2: Convert to fraction form
    310.71/466.16 = 180.68/x
  3. Step 3: Cross multiply
    310.71x = 466.16 × 180.68
  4. Step 4: Simplify right side
    310.71x = 84,225.18
  5. Step 5: Solve for x
    x = 84,225.18/310.71
  6. Step 6: Final answer
    x = 271.07

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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.