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Finding the Fourth Proportional to 259.96, 359.10 and 177.40

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Solution

The fourth proportional to 259.96, 359.10 and 177.40 is: 245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 359.10 = 177.40 : x
  2. Step 2: Convert to fraction form
    259.96/359.10 = 177.40/x
  3. Step 3: Cross multiply
    259.96x = 359.10 × 177.40
  4. Step 4: Simplify right side
    259.96x = 63,704.34
  5. Step 5: Solve for x
    x = 63,704.34/259.96
  6. Step 6: Final answer
    x = 245.05

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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.