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Finding the Fourth Proportional to 190.55, 284.33 and 178.94

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Solution

The fourth proportional to 190.55, 284.33 and 178.94 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.55 : 284.33 = 178.94 : x
  2. Step 2: Convert to fraction form
    190.55/284.33 = 178.94/x
  3. Step 3: Cross multiply
    190.55x = 284.33 × 178.94
  4. Step 4: Simplify right side
    190.55x = 50,875.69
  5. Step 5: Solve for x
    x = 50,875.69/190.55
  6. Step 6: Final answer
    x = 267.00

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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.