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Finding the Fourth Proportional to 207.10, 310.04 and 153.24

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Solution

The fourth proportional to 207.10, 310.04 and 153.24 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.10 : 310.04 = 153.24 : x
  2. Step 2: Convert to fraction form
    207.10/310.04 = 153.24/x
  3. Step 3: Cross multiply
    207.10x = 310.04 × 153.24
  4. Step 4: Simplify right side
    207.10x = 47,510.53
  5. Step 5: Solve for x
    x = 47,510.53/207.10
  6. Step 6: Final answer
    x = 229.41

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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.