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Finding the Fourth Proportional to 369.36, 553.72 and 152.88

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Solution

The fourth proportional to 369.36, 553.72 and 152.88 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 553.72 = 152.88 : x
  2. Step 2: Convert to fraction form
    369.36/553.72 = 152.88/x
  3. Step 3: Cross multiply
    369.36x = 553.72 × 152.88
  4. Step 4: Simplify right side
    369.36x = 84,652.71
  5. Step 5: Solve for x
    x = 84,652.71/369.36
  6. Step 6: Final answer
    x = 229.19

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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.