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Finding the Fourth Proportional to 233.99, 322.86 and 199.16

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Solution

The fourth proportional to 233.99, 322.86 and 199.16 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.99 : 322.86 = 199.16 : x
  2. Step 2: Convert to fraction form
    233.99/322.86 = 199.16/x
  3. Step 3: Cross multiply
    233.99x = 322.86 × 199.16
  4. Step 4: Simplify right side
    233.99x = 64,300.80
  5. Step 5: Solve for x
    x = 64,300.80/233.99
  6. Step 6: Final answer
    x = 274.80

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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.