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Finding the Fourth Proportional to 302.04, 452.92 and 106.98

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Solution

The fourth proportional to 302.04, 452.92 and 106.98 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.04 : 452.92 = 106.98 : x
  2. Step 2: Convert to fraction form
    302.04/452.92 = 106.98/x
  3. Step 3: Cross multiply
    302.04x = 452.92 × 106.98
  4. Step 4: Simplify right side
    302.04x = 48,453.11
  5. Step 5: Solve for x
    x = 48,453.11/302.04
  6. Step 6: Final answer
    x = 160.42

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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.