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Finding the Fourth Proportional to 338.16, 507.55 and 216.66

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Solution

The fourth proportional to 338.16, 507.55 and 216.66 is: 325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 507.55 = 216.66 : x
  2. Step 2: Convert to fraction form
    338.16/507.55 = 216.66/x
  3. Step 3: Cross multiply
    338.16x = 507.55 × 216.66
  4. Step 4: Simplify right side
    338.16x = 109,965.78
  5. Step 5: Solve for x
    x = 109,965.78/338.16
  6. Step 6: Final answer
    x = 325.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.