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Finding the Fourth Proportional to 237, 355.65 and 123

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Solution

The fourth proportional to 237, 355.65 and 123 is: 184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 355.65 = 123 : x
  2. Step 2: Convert to fraction form
    237/355.65 = 123/x
  3. Step 3: Cross multiply
    237x = 355.65 × 123
  4. Step 4: Simplify right side
    237x = 43,744.95
  5. Step 5: Solve for x
    x = 43,744.95/237
  6. Step 6: Final answer
    x = 184.58

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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.