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Finding the Fourth Proportional to 367.61, 507.29 and 220.16

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Solution

The fourth proportional to 367.61, 507.29 and 220.16 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.61 : 507.29 = 220.16 : x
  2. Step 2: Convert to fraction form
    367.61/507.29 = 220.16/x
  3. Step 3: Cross multiply
    367.61x = 507.29 × 220.16
  4. Step 4: Simplify right side
    367.61x = 111,686.79
  5. Step 5: Solve for x
    x = 111,686.79/367.61
  6. Step 6: Final answer
    x = 303.82

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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.