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Finding the Fourth Proportional to 302.59, 417.58 and 164.59

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Solution

The fourth proportional to 302.59, 417.58 and 164.59 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.59 : 417.58 = 164.59 : x
  2. Step 2: Convert to fraction form
    302.59/417.58 = 164.59/x
  3. Step 3: Cross multiply
    302.59x = 417.58 × 164.59
  4. Step 4: Simplify right side
    302.59x = 68,729.49
  5. Step 5: Solve for x
    x = 68,729.49/302.59
  6. Step 6: Final answer
    x = 227.14

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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.