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Finding the Fourth Proportional to 259.80, 358.50 and 153.48

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Solution

The fourth proportional to 259.80, 358.50 and 153.48 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 358.50 = 153.48 : x
  2. Step 2: Convert to fraction form
    259.80/358.50 = 153.48/x
  3. Step 3: Cross multiply
    259.80x = 358.50 × 153.48
  4. Step 4: Simplify right side
    259.80x = 55,022.58
  5. Step 5: Solve for x
    x = 55,022.58/259.80
  6. Step 6: Final answer
    x = 211.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.