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Finding the Fourth Proportional to 259.48, 389.35 and 156.97

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Solution

The fourth proportional to 259.48, 389.35 and 156.97 is: 235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 389.35 = 156.97 : x
  2. Step 2: Convert to fraction form
    259.48/389.35 = 156.97/x
  3. Step 3: Cross multiply
    259.48x = 389.35 × 156.97
  4. Step 4: Simplify right side
    259.48x = 61,116.27
  5. Step 5: Solve for x
    x = 61,116.27/259.48
  6. Step 6: Final answer
    x = 235.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.