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Finding the Fourth Proportional to 302.12, 416.72 and 185.74

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Solution

The fourth proportional to 302.12, 416.72 and 185.74 is: 256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 416.72 = 185.74 : x
  2. Step 2: Convert to fraction form
    302.12/416.72 = 185.74/x
  3. Step 3: Cross multiply
    302.12x = 416.72 × 185.74
  4. Step 4: Simplify right side
    302.12x = 77,401.57
  5. Step 5: Solve for x
    x = 77,401.57/302.12
  6. Step 6: Final answer
    x = 256.19

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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.