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Finding the Fourth Proportional to 302.83, 417.85 and 170.05

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Solution

The fourth proportional to 302.83, 417.85 and 170.05 is: 234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.83 : 417.85 = 170.05 : x
  2. Step 2: Convert to fraction form
    302.83/417.85 = 170.05/x
  3. Step 3: Cross multiply
    302.83x = 417.85 × 170.05
  4. Step 4: Simplify right side
    302.83x = 71,055.39
  5. Step 5: Solve for x
    x = 71,055.39/302.83
  6. Step 6: Final answer
    x = 234.64

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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.