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Finding the Fourth Proportional to 259.06, 357.56 and 159.50

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Solution

The fourth proportional to 259.06, 357.56 and 159.50 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.06 : 357.56 = 159.50 : x
  2. Step 2: Convert to fraction form
    259.06/357.56 = 159.50/x
  3. Step 3: Cross multiply
    259.06x = 357.56 × 159.50
  4. Step 4: Simplify right side
    259.06x = 57,030.82
  5. Step 5: Solve for x
    x = 57,030.82/259.06
  6. Step 6: Final answer
    x = 220.15

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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.