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Finding the Fourth Proportional to 285.95, 394.63 and 175.43

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Solution

The fourth proportional to 285.95, 394.63 and 175.43 is: 242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.95 : 394.63 = 175.43 : x
  2. Step 2: Convert to fraction form
    285.95/394.63 = 175.43/x
  3. Step 3: Cross multiply
    285.95x = 394.63 × 175.43
  4. Step 4: Simplify right side
    285.95x = 69,230.49
  5. Step 5: Solve for x
    x = 69,230.49/285.95
  6. Step 6: Final answer
    x = 242.10

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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.