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Finding the Fourth Proportional to 195.01, 290.88 and 176.56

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Solution

The fourth proportional to 195.01, 290.88 and 176.56 is: 263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.01 : 290.88 = 176.56 : x
  2. Step 2: Convert to fraction form
    195.01/290.88 = 176.56/x
  3. Step 3: Cross multiply
    195.01x = 290.88 × 176.56
  4. Step 4: Simplify right side
    195.01x = 51,357.77
  5. Step 5: Solve for x
    x = 51,357.77/195.01
  6. Step 6: Final answer
    x = 263.36

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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.