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Finding the Fourth Proportional to 259.50, 358.13 and 149.01

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Solution

The fourth proportional to 259.50, 358.13 and 149.01 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 358.13 = 149.01 : x
  2. Step 2: Convert to fraction form
    259.50/358.13 = 149.01/x
  3. Step 3: Cross multiply
    259.50x = 358.13 × 149.01
  4. Step 4: Simplify right side
    259.50x = 53,364.95
  5. Step 5: Solve for x
    x = 53,364.95/259.50
  6. Step 6: Final answer
    x = 205.65

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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.