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Finding the Fourth Proportional to 237, 356.16 and 183.54

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Solution

The fourth proportional to 237, 356.16 and 183.54 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 356.16 = 183.54 : x
  2. Step 2: Convert to fraction form
    237/356.16 = 183.54/x
  3. Step 3: Cross multiply
    237x = 356.16 × 183.54
  4. Step 4: Simplify right side
    237x = 65,369.61
  5. Step 5: Solve for x
    x = 65,369.61/237
  6. Step 6: Final answer
    x = 275.82

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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.