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Finding the Fourth Proportional to 250.02, 375.64 and 242.12

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Solution

The fourth proportional to 250.02, 375.64 and 242.12 is: 363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 375.64 = 242.12 : x
  2. Step 2: Convert to fraction form
    250.02/375.64 = 242.12/x
  3. Step 3: Cross multiply
    250.02x = 375.64 × 242.12
  4. Step 4: Simplify right side
    250.02x = 90,950.29
  5. Step 5: Solve for x
    x = 90,950.29/250.02
  6. Step 6: Final answer
    x = 363.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.