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Finding the Fourth Proportional to 338.87, 508.01 and 146.63

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Solution

The fourth proportional to 338.87, 508.01 and 146.63 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.87 : 508.01 = 146.63 : x
  2. Step 2: Convert to fraction form
    338.87/508.01 = 146.63/x
  3. Step 3: Cross multiply
    338.87x = 508.01 × 146.63
  4. Step 4: Simplify right side
    338.87x = 74,486.23
  5. Step 5: Solve for x
    x = 74,486.23/338.87
  6. Step 6: Final answer
    x = 219.81

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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.