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Finding the Fourth Proportional to 334.54, 502.08 and 188.26

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Solution

The fourth proportional to 334.54, 502.08 and 188.26 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.54 : 502.08 = 188.26 : x
  2. Step 2: Convert to fraction form
    334.54/502.08 = 188.26/x
  3. Step 3: Cross multiply
    334.54x = 502.08 × 188.26
  4. Step 4: Simplify right side
    334.54x = 94,521.58
  5. Step 5: Solve for x
    x = 94,521.58/334.54
  6. Step 6: Final answer
    x = 282.54

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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.