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Finding the Fourth Proportional to 302.19, 417.02 and 164.19

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Solution

The fourth proportional to 302.19, 417.02 and 164.19 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 417.02 = 164.19 : x
  2. Step 2: Convert to fraction form
    302.19/417.02 = 164.19/x
  3. Step 3: Cross multiply
    302.19x = 417.02 × 164.19
  4. Step 4: Simplify right side
    302.19x = 68,470.51
  5. Step 5: Solve for x
    x = 68,470.51/302.19
  6. Step 6: Final answer
    x = 226.58

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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.