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Finding the Fourth Proportional to 235.68, 353.30 and 149.06

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Solution

The fourth proportional to 235.68, 353.30 and 149.06 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 353.30 = 149.06 : x
  2. Step 2: Convert to fraction form
    235.68/353.30 = 149.06/x
  3. Step 3: Cross multiply
    235.68x = 353.30 × 149.06
  4. Step 4: Simplify right side
    235.68x = 52,662.90
  5. Step 5: Solve for x
    x = 52,662.90/235.68
  6. Step 6: Final answer
    x = 223.45

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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.