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Finding the Fourth Proportional to 260.06, 390.16 and 97.76

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Solution

The fourth proportional to 260.06, 390.16 and 97.76 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 390.16 = 97.76 : x
  2. Step 2: Convert to fraction form
    260.06/390.16 = 97.76/x
  3. Step 3: Cross multiply
    260.06x = 390.16 × 97.76
  4. Step 4: Simplify right side
    260.06x = 38,143.14
  5. Step 5: Solve for x
    x = 38,143.14/260.06
  6. Step 6: Final answer
    x = 146.67

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Why These Related Problems?

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