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Finding the Fourth Proportional to 314.39, 433.78 and 183.32

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Solution

The fourth proportional to 314.39, 433.78 and 183.32 is: 252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.39 : 433.78 = 183.32 : x
  2. Step 2: Convert to fraction form
    314.39/433.78 = 183.32/x
  3. Step 3: Cross multiply
    314.39x = 433.78 × 183.32
  4. Step 4: Simplify right side
    314.39x = 79,521.18
  5. Step 5: Solve for x
    x = 79,521.18/314.39
  6. Step 6: Final answer
    x = 252.94

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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.