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Finding the Fourth Proportional to 302.10, 416.88 and 171.06

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Solution

The fourth proportional to 302.10, 416.88 and 171.06 is: 236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.10 : 416.88 = 171.06 : x
  2. Step 2: Convert to fraction form
    302.10/416.88 = 171.06/x
  3. Step 3: Cross multiply
    302.10x = 416.88 × 171.06
  4. Step 4: Simplify right side
    302.10x = 71,311.49
  5. Step 5: Solve for x
    x = 71,311.49/302.10
  6. Step 6: Final answer
    x = 236.05

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Why These Related Problems?

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