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Finding the Fourth Proportional to 338.17, 508.06 and 216.67

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Solution

The fourth proportional to 338.17, 508.06 and 216.67 is: 325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.17 : 508.06 = 216.67 : x
  2. Step 2: Convert to fraction form
    338.17/508.06 = 216.67/x
  3. Step 3: Cross multiply
    338.17x = 508.06 × 216.67
  4. Step 4: Simplify right side
    338.17x = 110,079.32
  5. Step 5: Solve for x
    x = 110,079.32/338.17
  6. Step 6: Final answer
    x = 325.52

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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.