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Finding the Fourth Proportional to 235.80, 354.06 and 154.80

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Solution

The fourth proportional to 235.80, 354.06 and 154.80 is: 232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 354.06 = 154.80 : x
  2. Step 2: Convert to fraction form
    235.80/354.06 = 154.80/x
  3. Step 3: Cross multiply
    235.80x = 354.06 × 154.80
  4. Step 4: Simplify right side
    235.80x = 54,808.49
  5. Step 5: Solve for x
    x = 54,808.49/235.80
  6. Step 6: Final answer
    x = 232.44

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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.