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Finding the Fourth Proportional to 290.15, 434.82 and 160.21

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Solution

The fourth proportional to 290.15, 434.82 and 160.21 is: 240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.15 : 434.82 = 160.21 : x
  2. Step 2: Convert to fraction form
    290.15/434.82 = 160.21/x
  3. Step 3: Cross multiply
    290.15x = 434.82 × 160.21
  4. Step 4: Simplify right side
    290.15x = 69,662.11
  5. Step 5: Solve for x
    x = 69,662.11/290.15
  6. Step 6: Final answer
    x = 240.09

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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.