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Finding the Fourth Proportional to 235.96, 353.65 and 178.00

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Solution

The fourth proportional to 235.96, 353.65 and 178.00 is: 266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 353.65 = 178.00 : x
  2. Step 2: Convert to fraction form
    235.96/353.65 = 178.00/x
  3. Step 3: Cross multiply
    235.96x = 353.65 × 178.00
  4. Step 4: Simplify right side
    235.96x = 62,947.49
  5. Step 5: Solve for x
    x = 62,947.49/235.96
  6. Step 6: Final answer
    x = 266.77

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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.