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Finding the Fourth Proportional to 302.67, 417.74 and 169.92

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Solution

The fourth proportional to 302.67, 417.74 and 169.92 is: 234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.67 : 417.74 = 169.92 : x
  2. Step 2: Convert to fraction form
    302.67/417.74 = 169.92/x
  3. Step 3: Cross multiply
    302.67x = 417.74 × 169.92
  4. Step 4: Simplify right side
    302.67x = 70,981.53
  5. Step 5: Solve for x
    x = 70,981.53/302.67
  6. Step 6: Final answer
    x = 234.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.