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Finding the Fourth Proportional to 314.93, 434.63 and 182.20

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Solution

The fourth proportional to 314.93, 434.63 and 182.20 is: 251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 434.63 = 182.20 : x
  2. Step 2: Convert to fraction form
    314.93/434.63 = 182.20/x
  3. Step 3: Cross multiply
    314.93x = 434.63 × 182.20
  4. Step 4: Simplify right side
    314.93x = 79,190.15
  5. Step 5: Solve for x
    x = 79,190.15/314.93
  6. Step 6: Final answer
    x = 251.45

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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.