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Finding the Fourth Proportional to 190.31, 284.06 and 176.37

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Solution

The fourth proportional to 190.31, 284.06 and 176.37 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 284.06 = 176.37 : x
  2. Step 2: Convert to fraction form
    190.31/284.06 = 176.37/x
  3. Step 3: Cross multiply
    190.31x = 284.06 × 176.37
  4. Step 4: Simplify right side
    190.31x = 50,098.84
  5. Step 5: Solve for x
    x = 50,098.84/190.31
  6. Step 6: Final answer
    x = 263.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.