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Finding the Fourth Proportional to 290.42, 435.54 and 98

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Solution

The fourth proportional to 290.42, 435.54 and 98 is: 146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 435.54 = 98 : x
  2. Step 2: Convert to fraction form
    290.42/435.54 = 98/x
  3. Step 3: Cross multiply
    290.42x = 435.54 × 98
  4. Step 4: Simplify right side
    290.42x = 42,682.92
  5. Step 5: Solve for x
    x = 42,682.92/290.42
  6. Step 6: Final answer
    x = 146.97

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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.