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Finding the Fourth Proportional to 251.94, 375.16 and 242.72

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Solution

The fourth proportional to 251.94, 375.16 and 242.72 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.94 : 375.16 = 242.72 : x
  2. Step 2: Convert to fraction form
    251.94/375.16 = 242.72/x
  3. Step 3: Cross multiply
    251.94x = 375.16 × 242.72
  4. Step 4: Simplify right side
    251.94x = 91,056.35
  5. Step 5: Solve for x
    x = 91,056.35/251.94
  6. Step 6: Final answer
    x = 361.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.