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Finding the Fourth Proportional to 338.50, 507.75 and 146.26

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Solution

The fourth proportional to 338.50, 507.75 and 146.26 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.50 : 507.75 = 146.26 : x
  2. Step 2: Convert to fraction form
    338.50/507.75 = 146.26/x
  3. Step 3: Cross multiply
    338.50x = 507.75 × 146.26
  4. Step 4: Simplify right side
    338.50x = 74,263.52
  5. Step 5: Solve for x
    x = 74,263.52/338.50
  6. Step 6: Final answer
    x = 219.39

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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.