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Finding the Fourth Proportional to 302.41, 452.78 and 155.85

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Solution

The fourth proportional to 302.41, 452.78 and 155.85 is: 233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.41 : 452.78 = 155.85 : x
  2. Step 2: Convert to fraction form
    302.41/452.78 = 155.85/x
  3. Step 3: Cross multiply
    302.41x = 452.78 × 155.85
  4. Step 4: Simplify right side
    302.41x = 70,565.76
  5. Step 5: Solve for x
    x = 70,565.76/302.41
  6. Step 6: Final answer
    x = 233.34

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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.