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Finding the Fourth Proportional to 290.16, 435.04 and 197.64

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Solution

The fourth proportional to 290.16, 435.04 and 197.64 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.16 : 435.04 = 197.64 : x
  2. Step 2: Convert to fraction form
    290.16/435.04 = 197.64/x
  3. Step 3: Cross multiply
    290.16x = 435.04 × 197.64
  4. Step 4: Simplify right side
    290.16x = 85,981.31
  5. Step 5: Solve for x
    x = 85,981.31/290.16
  6. Step 6: Final answer
    x = 296.32

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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.