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Finding the Fourth Proportional to 314.64, 434.20 and 183.64

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Solution

The fourth proportional to 314.64, 434.20 and 183.64 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 434.20 = 183.64 : x
  2. Step 2: Convert to fraction form
    314.64/434.20 = 183.64/x
  3. Step 3: Cross multiply
    314.64x = 434.20 × 183.64
  4. Step 4: Simplify right side
    314.64x = 79,736.49
  5. Step 5: Solve for x
    x = 79,736.49/314.64
  6. Step 6: Final answer
    x = 253.42

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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.