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Finding the Fourth Proportional to 302.28, 416.90 and 185.80

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Solution

The fourth proportional to 302.28, 416.90 and 185.80 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 416.90 = 185.80 : x
  2. Step 2: Convert to fraction form
    302.28/416.90 = 185.80/x
  3. Step 3: Cross multiply
    302.28x = 416.90 × 185.80
  4. Step 4: Simplify right side
    302.28x = 77,460.02
  5. Step 5: Solve for x
    x = 77,460.02/302.28
  6. Step 6: Final answer
    x = 256.25

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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.