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Finding the Fourth Proportional to 338.69, 508.04 and 146.32

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Solution

The fourth proportional to 338.69, 508.04 and 146.32 is: 219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.69 : 508.04 = 146.32 : x
  2. Step 2: Convert to fraction form
    338.69/508.04 = 146.32/x
  3. Step 3: Cross multiply
    338.69x = 508.04 × 146.32
  4. Step 4: Simplify right side
    338.69x = 74,333.14
  5. Step 5: Solve for x
    x = 74,333.14/338.69
  6. Step 6: Final answer
    x = 219.47

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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.