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Finding the Fourth Proportional to 150.84, 224.54 and 149.93

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Solution

The fourth proportional to 150.84, 224.54 and 149.93 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 224.54 = 149.93 : x
  2. Step 2: Convert to fraction form
    150.84/224.54 = 149.93/x
  3. Step 3: Cross multiply
    150.84x = 224.54 × 149.93
  4. Step 4: Simplify right side
    150.84x = 33,664.53
  5. Step 5: Solve for x
    x = 33,664.53/150.84
  6. Step 6: Final answer
    x = 223.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.