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Finding the Fourth Proportional to 314.56, 434.01 and 183.52

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Solution

The fourth proportional to 314.56, 434.01 and 183.52 is: 253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.56 : 434.01 = 183.52 : x
  2. Step 2: Convert to fraction form
    314.56/434.01 = 183.52/x
  3. Step 3: Cross multiply
    314.56x = 434.01 × 183.52
  4. Step 4: Simplify right side
    314.56x = 79,649.52
  5. Step 5: Solve for x
    x = 79,649.52/314.56
  6. Step 6: Final answer
    x = 253.21

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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.