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Finding the Fourth Proportional to 259.24, 357.81 and 161.10

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Solution

The fourth proportional to 259.24, 357.81 and 161.10 is: 222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 357.81 = 161.10 : x
  2. Step 2: Convert to fraction form
    259.24/357.81 = 161.10/x
  3. Step 3: Cross multiply
    259.24x = 357.81 × 161.10
  4. Step 4: Simplify right side
    259.24x = 57,643.19
  5. Step 5: Solve for x
    x = 57,643.19/259.24
  6. Step 6: Final answer
    x = 222.35

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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.