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Finding the Fourth Proportional to 152.34, 229.02 and 122.24

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Solution

The fourth proportional to 152.34, 229.02 and 122.24 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.34 : 229.02 = 122.24 : x
  2. Step 2: Convert to fraction form
    152.34/229.02 = 122.24/x
  3. Step 3: Cross multiply
    152.34x = 229.02 × 122.24
  4. Step 4: Simplify right side
    152.34x = 27,995.40
  5. Step 5: Solve for x
    x = 27,995.40/152.34
  6. Step 6: Final answer
    x = 183.77

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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.