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Finding the Fourth Proportional to 302.54, 452.89 and 194.10

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Solution

The fourth proportional to 302.54, 452.89 and 194.10 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 452.89 = 194.10 : x
  2. Step 2: Convert to fraction form
    302.54/452.89 = 194.10/x
  3. Step 3: Cross multiply
    302.54x = 452.89 × 194.10
  4. Step 4: Simplify right side
    302.54x = 87,904.49
  5. Step 5: Solve for x
    x = 87,904.49/302.54
  6. Step 6: Final answer
    x = 290.56

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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.