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Finding the Fourth Proportional to 315.12, 434.84 and 182.36

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Solution

The fourth proportional to 315.12, 434.84 and 182.36 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 434.84 = 182.36 : x
  2. Step 2: Convert to fraction form
    315.12/434.84 = 182.36/x
  3. Step 3: Cross multiply
    315.12x = 434.84 × 182.36
  4. Step 4: Simplify right side
    315.12x = 79,294.34
  5. Step 5: Solve for x
    x = 79,294.34/315.12
  6. Step 6: Final answer
    x = 251.63

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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.