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Finding the Fourth Proportional to 153.17, 210.92 and 149.76

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Solution

The fourth proportional to 153.17, 210.92 and 149.76 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.17 : 210.92 = 149.76 : x
  2. Step 2: Convert to fraction form
    153.17/210.92 = 149.76/x
  3. Step 3: Cross multiply
    153.17x = 210.92 × 149.76
  4. Step 4: Simplify right side
    153.17x = 31,586.63
  5. Step 5: Solve for x
    x = 31,586.63/153.17
  6. Step 6: Final answer
    x = 206.23

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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.