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Finding the Fourth Proportional to 285.20, 393.72 and 192.02

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Solution

The fourth proportional to 285.20, 393.72 and 192.02 is: 265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 393.72 = 192.02 : x
  2. Step 2: Convert to fraction form
    285.20/393.72 = 192.02/x
  3. Step 3: Cross multiply
    285.20x = 393.72 × 192.02
  4. Step 4: Simplify right side
    285.20x = 75,602.11
  5. Step 5: Solve for x
    x = 75,602.11/285.20
  6. Step 6: Final answer
    x = 265.08

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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.