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Finding the Fourth Proportional to 259, 357.30 and 170.50

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Solution

The fourth proportional to 259, 357.30 and 170.50 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 357.30 = 170.50 : x
  2. Step 2: Convert to fraction form
    259/357.30 = 170.50/x
  3. Step 3: Cross multiply
    259x = 357.30 × 170.50
  4. Step 4: Simplify right side
    259x = 60,919.65
  5. Step 5: Solve for x
    x = 60,919.65/259
  6. Step 6: Final answer
    x = 235.21

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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.