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Finding the Fourth Proportional to 313.42, 432.54 and 182.40

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Solution

The fourth proportional to 313.42, 432.54 and 182.40 is: 251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 432.54 = 182.40 : x
  2. Step 2: Convert to fraction form
    313.42/432.54 = 182.40/x
  3. Step 3: Cross multiply
    313.42x = 432.54 × 182.40
  4. Step 4: Simplify right side
    313.42x = 78,895.30
  5. Step 5: Solve for x
    x = 78,895.30/313.42
  6. Step 6: Final answer
    x = 251.72

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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.