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Finding the Fourth Proportional to 314.90, 434.52 and 182.14

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Solution

The fourth proportional to 314.90, 434.52 and 182.14 is: 251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 434.52 = 182.14 : x
  2. Step 2: Convert to fraction form
    314.90/434.52 = 182.14/x
  3. Step 3: Cross multiply
    314.90x = 434.52 × 182.14
  4. Step 4: Simplify right side
    314.90x = 79,143.47
  5. Step 5: Solve for x
    x = 79,143.47/314.90
  6. Step 6: Final answer
    x = 251.33

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