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Finding the Fourth Proportional to 615.37, 923.07 and 153.13

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Solution

The fourth proportional to 615.37, 923.07 and 153.13 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.37 : 923.07 = 153.13 : x
  2. Step 2: Convert to fraction form
    615.37/923.07 = 153.13/x
  3. Step 3: Cross multiply
    615.37x = 923.07 × 153.13
  4. Step 4: Simplify right side
    615.37x = 141,351.44
  5. Step 5: Solve for x
    x = 141,351.44/615.37
  6. Step 6: Final answer
    x = 229.70

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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.