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Finding the Fourth Proportional to 259.40, 357.72 and 155.84

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Solution

The fourth proportional to 259.40, 357.72 and 155.84 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.40 : 357.72 = 155.84 : x
  2. Step 2: Convert to fraction form
    259.40/357.72 = 155.84/x
  3. Step 3: Cross multiply
    259.40x = 357.72 × 155.84
  4. Step 4: Simplify right side
    259.40x = 55,747.08
  5. Step 5: Solve for x
    x = 55,747.08/259.40
  6. Step 6: Final answer
    x = 214.91

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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.