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Finding the Fourth Proportional to 195.45, 291.50 and 176.01

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Solution

The fourth proportional to 195.45, 291.50 and 176.01 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 291.50 = 176.01 : x
  2. Step 2: Convert to fraction form
    195.45/291.50 = 176.01/x
  3. Step 3: Cross multiply
    195.45x = 291.50 × 176.01
  4. Step 4: Simplify right side
    195.45x = 51,306.03
  5. Step 5: Solve for x
    x = 51,306.03/195.45
  6. Step 6: Final answer
    x = 262.50

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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.