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Finding the Fourth Proportional to 195.48, 291.66 and 177.26

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Solution

The fourth proportional to 195.48, 291.66 and 177.26 is: 264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.48 : 291.66 = 177.26 : x
  2. Step 2: Convert to fraction form
    195.48/291.66 = 177.26/x
  3. Step 3: Cross multiply
    195.48x = 291.66 × 177.26
  4. Step 4: Simplify right side
    195.48x = 51,697.31
  5. Step 5: Solve for x
    x = 51,697.31/195.48
  6. Step 6: Final answer
    x = 264.46

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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.