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Finding the Fourth Proportional to 302.38, 452.85 and 155.77

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Solution

The fourth proportional to 302.38, 452.85 and 155.77 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 452.85 = 155.77 : x
  2. Step 2: Convert to fraction form
    302.38/452.85 = 155.77/x
  3. Step 3: Cross multiply
    302.38x = 452.85 × 155.77
  4. Step 4: Simplify right side
    302.38x = 70,540.44
  5. Step 5: Solve for x
    x = 70,540.44/302.38
  6. Step 6: Final answer
    x = 233.28

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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.