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Finding the Fourth Proportional to 302.66, 417.69 and 169.89

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Solution

The fourth proportional to 302.66, 417.69 and 169.89 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.66 : 417.69 = 169.89 : x
  2. Step 2: Convert to fraction form
    302.66/417.69 = 169.89/x
  3. Step 3: Cross multiply
    302.66x = 417.69 × 169.89
  4. Step 4: Simplify right side
    302.66x = 70,962.82
  5. Step 5: Solve for x
    x = 70,962.82/302.66
  6. Step 6: Final answer
    x = 234.46

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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.