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Finding the Fourth Proportional to 192.62, 265.35 and 148.94

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Solution

The fourth proportional to 192.62, 265.35 and 148.94 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.62 : 265.35 = 148.94 : x
  2. Step 2: Convert to fraction form
    192.62/265.35 = 148.94/x
  3. Step 3: Cross multiply
    192.62x = 265.35 × 148.94
  4. Step 4: Simplify right side
    192.62x = 39,521.23
  5. Step 5: Solve for x
    x = 39,521.23/192.62
  6. Step 6: Final answer
    x = 205.18

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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.