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Finding the Fourth Proportional to 302.53, 417.48 and 164.53

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Solution

The fourth proportional to 302.53, 417.48 and 164.53 is: 227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.53 : 417.48 = 164.53 : x
  2. Step 2: Convert to fraction form
    302.53/417.48 = 164.53/x
  3. Step 3: Cross multiply
    302.53x = 417.48 × 164.53
  4. Step 4: Simplify right side
    302.53x = 68,687.98
  5. Step 5: Solve for x
    x = 68,687.98/302.53
  6. Step 6: Final answer
    x = 227.05

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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.