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Finding the Fourth Proportional to 153.66, 229.09 and 149.74

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Solution

The fourth proportional to 153.66, 229.09 and 149.74 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 229.09 = 149.74 : x
  2. Step 2: Convert to fraction form
    153.66/229.09 = 149.74/x
  3. Step 3: Cross multiply
    153.66x = 229.09 × 149.74
  4. Step 4: Simplify right side
    153.66x = 34,303.94
  5. Step 5: Solve for x
    x = 34,303.94/153.66
  6. Step 6: Final answer
    x = 223.25

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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.