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Finding the Fourth Proportional to 175.40, 262.76 and 142.94

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Solution

The fourth proportional to 175.40, 262.76 and 142.94 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 262.76 = 142.94 : x
  2. Step 2: Convert to fraction form
    175.40/262.76 = 142.94/x
  3. Step 3: Cross multiply
    175.40x = 262.76 × 142.94
  4. Step 4: Simplify right side
    175.40x = 37,558.20
  5. Step 5: Solve for x
    x = 37,558.20/175.40
  6. Step 6: Final answer
    x = 214.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.