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Finding the Fourth Proportional to 195.51, 292.37 and 146.13

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Solution

The fourth proportional to 195.51, 292.37 and 146.13 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.51 : 292.37 = 146.13 : x
  2. Step 2: Convert to fraction form
    195.51/292.37 = 146.13/x
  3. Step 3: Cross multiply
    195.51x = 292.37 × 146.13
  4. Step 4: Simplify right side
    195.51x = 42,721.84
  5. Step 5: Solve for x
    x = 42,721.84/195.51
  6. Step 6: Final answer
    x = 218.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.