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Finding the Fourth Proportional to 259.40, 357.68 and 185.76

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Solution

The fourth proportional to 259.40, 357.68 and 185.76 is: 256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.40 : 357.68 = 185.76 : x
  2. Step 2: Convert to fraction form
    259.40/357.68 = 185.76/x
  3. Step 3: Cross multiply
    259.40x = 357.68 × 185.76
  4. Step 4: Simplify right side
    259.40x = 66,443.10
  5. Step 5: Solve for x
    x = 66,443.10/259.40
  6. Step 6: Final answer
    x = 256.14

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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.