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Finding the Fourth Proportional to 367.50, 507.24 and 212.34

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Solution

The fourth proportional to 367.50, 507.24 and 212.34 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 507.24 = 212.34 : x
  2. Step 2: Convert to fraction form
    367.50/507.24 = 212.34/x
  3. Step 3: Cross multiply
    367.50x = 507.24 × 212.34
  4. Step 4: Simplify right side
    367.50x = 107,707.34
  5. Step 5: Solve for x
    x = 107,707.34/367.50
  6. Step 6: Final answer
    x = 293.08

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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.