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Finding the Fourth Proportional to 260.71, 390.76 and 98.24

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Solution

The fourth proportional to 260.71, 390.76 and 98.24 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.71 : 390.76 = 98.24 : x
  2. Step 2: Convert to fraction form
    260.71/390.76 = 98.24/x
  3. Step 3: Cross multiply
    260.71x = 390.76 × 98.24
  4. Step 4: Simplify right side
    260.71x = 38,386.06
  5. Step 5: Solve for x
    x = 38,386.06/260.71
  6. Step 6: Final answer
    x = 147.24

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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.