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Finding the Fourth Proportional to 192.56, 266.10 and 146.08

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Solution

The fourth proportional to 192.56, 266.10 and 146.08 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 266.10 = 146.08 : x
  2. Step 2: Convert to fraction form
    192.56/266.10 = 146.08/x
  3. Step 3: Cross multiply
    192.56x = 266.10 × 146.08
  4. Step 4: Simplify right side
    192.56x = 38,870.56
  5. Step 5: Solve for x
    x = 38,870.56/192.56
  6. Step 6: Final answer
    x = 201.86

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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.