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Finding the Fourth Proportional to 314.76, 434.16 and 183.74

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Solution

The fourth proportional to 314.76, 434.16 and 183.74 is: 253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.16 = 183.74 : x
  2. Step 2: Convert to fraction form
    314.76/434.16 = 183.74/x
  3. Step 3: Cross multiply
    314.76x = 434.16 × 183.74
  4. Step 4: Simplify right side
    314.76x = 79,772.56
  5. Step 5: Solve for x
    x = 79,772.56/314.76
  6. Step 6: Final answer
    x = 253.44

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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.