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Finding the Fourth Proportional to 302.80, 454.36 and 174.80

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Solution

The fourth proportional to 302.80, 454.36 and 174.80 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 454.36 = 174.80 : x
  2. Step 2: Convert to fraction form
    302.80/454.36 = 174.80/x
  3. Step 3: Cross multiply
    302.80x = 454.36 × 174.80
  4. Step 4: Simplify right side
    302.80x = 79,422.13
  5. Step 5: Solve for x
    x = 79,422.13/302.80
  6. Step 6: Final answer
    x = 262.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.