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Finding the Fourth Proportional to 310.81, 466.37 and 118.57

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Solution

The fourth proportional to 310.81, 466.37 and 118.57 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.81 : 466.37 = 118.57 : x
  2. Step 2: Convert to fraction form
    310.81/466.37 = 118.57/x
  3. Step 3: Cross multiply
    310.81x = 466.37 × 118.57
  4. Step 4: Simplify right side
    310.81x = 55,298.51
  5. Step 5: Solve for x
    x = 55,298.51/310.81
  6. Step 6: Final answer
    x = 177.92

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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.