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Finding the Fourth Proportional to 237.99, 328.59 and 182.63

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Solution

The fourth proportional to 237.99, 328.59 and 182.63 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.99 : 328.59 = 182.63 : x
  2. Step 2: Convert to fraction form
    237.99/328.59 = 182.63/x
  3. Step 3: Cross multiply
    237.99x = 328.59 × 182.63
  4. Step 4: Simplify right side
    237.99x = 60,011.21
  5. Step 5: Solve for x
    x = 60,011.21/237.99
  6. Step 6: Final answer
    x = 252.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.