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Finding the Fourth Proportional to 240.36, 360.36 and 123.24

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Solution

The fourth proportional to 240.36, 360.36 and 123.24 is: 184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.36 : 360.36 = 123.24 : x
  2. Step 2: Convert to fraction form
    240.36/360.36 = 123.24/x
  3. Step 3: Cross multiply
    240.36x = 360.36 × 123.24
  4. Step 4: Simplify right side
    240.36x = 44,410.77
  5. Step 5: Solve for x
    x = 44,410.77/240.36
  6. Step 6: Final answer
    x = 184.77

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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.