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Finding the Fourth Proportional to 290.13, 435.21 and 97.75

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Solution

The fourth proportional to 290.13, 435.21 and 97.75 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 435.21 = 97.75 : x
  2. Step 2: Convert to fraction form
    290.13/435.21 = 97.75/x
  3. Step 3: Cross multiply
    290.13x = 435.21 × 97.75
  4. Step 4: Simplify right side
    290.13x = 42,541.78
  5. Step 5: Solve for x
    x = 42,541.78/290.13
  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.