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Finding the Fourth Proportional to 337.90, 466.31 and 188.53

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Solution

The fourth proportional to 337.90, 466.31 and 188.53 is: 260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.90 : 466.31 = 188.53 : x
  2. Step 2: Convert to fraction form
    337.90/466.31 = 188.53/x
  3. Step 3: Cross multiply
    337.90x = 466.31 × 188.53
  4. Step 4: Simplify right side
    337.90x = 87,913.42
  5. Step 5: Solve for x
    x = 87,913.42/337.90
  6. Step 6: Final answer
    x = 260.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.