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Finding the Fourth Proportional to 259.88, 358.72 and 177.26

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Solution

The fourth proportional to 259.88, 358.72 and 177.26 is: 244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 358.72 = 177.26 : x
  2. Step 2: Convert to fraction form
    259.88/358.72 = 177.26/x
  3. Step 3: Cross multiply
    259.88x = 358.72 × 177.26
  4. Step 4: Simplify right side
    259.88x = 63,586.71
  5. Step 5: Solve for x
    x = 63,586.71/259.88
  6. Step 6: Final answer
    x = 244.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.