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Finding the Fourth Proportional to 369.42, 553.82 and 153.15

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Solution

The fourth proportional to 369.42, 553.82 and 153.15 is: 229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 553.82 = 153.15 : x
  2. Step 2: Convert to fraction form
    369.42/553.82 = 153.15/x
  3. Step 3: Cross multiply
    369.42x = 553.82 × 153.15
  4. Step 4: Simplify right side
    369.42x = 84,817.53
  5. Step 5: Solve for x
    x = 84,817.53/369.42
  6. Step 6: Final answer
    x = 229.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.