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Finding the Fourth Proportional to 367.55, 507.35 and 250.13

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Solution

The fourth proportional to 367.55, 507.35 and 250.13 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.55 : 507.35 = 250.13 : x
  2. Step 2: Convert to fraction form
    367.55/507.35 = 250.13/x
  3. Step 3: Cross multiply
    367.55x = 507.35 × 250.13
  4. Step 4: Simplify right side
    367.55x = 126,903.46
  5. Step 5: Solve for x
    x = 126,903.46/367.55
  6. Step 6: Final answer
    x = 345.27

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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.