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Finding the Fourth Proportional to 290.16, 435.20 and 97.76

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Solution

The fourth proportional to 290.16, 435.20 and 97.76 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.16 : 435.20 = 97.76 : x
  2. Step 2: Convert to fraction form
    290.16/435.20 = 97.76/x
  3. Step 3: Cross multiply
    290.16x = 435.20 × 97.76
  4. Step 4: Simplify right side
    290.16x = 42,545.15
  5. Step 5: Solve for x
    x = 42,545.15/290.16
  6. Step 6: Final answer
    x = 146.63

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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.