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Finding the Fourth Proportional to 302.34, 417.14 and 185.90

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Solution

The fourth proportional to 302.34, 417.14 and 185.90 is: 256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 417.14 = 185.90 : x
  2. Step 2: Convert to fraction form
    302.34/417.14 = 185.90/x
  3. Step 3: Cross multiply
    302.34x = 417.14 × 185.90
  4. Step 4: Simplify right side
    302.34x = 77,546.33
  5. Step 5: Solve for x
    x = 77,546.33/302.34
  6. Step 6: Final answer
    x = 256.49

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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.