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Finding the Fourth Proportional to 369.49, 553.74 and 152.95

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Solution

The fourth proportional to 369.49, 553.74 and 152.95 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.49 : 553.74 = 152.95 : x
  2. Step 2: Convert to fraction form
    369.49/553.74 = 152.95/x
  3. Step 3: Cross multiply
    369.49x = 553.74 × 152.95
  4. Step 4: Simplify right side
    369.49x = 84,694.53
  5. Step 5: Solve for x
    x = 84,694.53/369.49
  6. Step 6: Final answer
    x = 229.22

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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.