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Finding the Fourth Proportional to 199.84, 275.88 and 144.64

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Solution

The fourth proportional to 199.84, 275.88 and 144.64 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.84 : 275.88 = 144.64 : x
  2. Step 2: Convert to fraction form
    199.84/275.88 = 144.64/x
  3. Step 3: Cross multiply
    199.84x = 275.88 × 144.64
  4. Step 4: Simplify right side
    199.84x = 39,903.28
  5. Step 5: Solve for x
    x = 39,903.28/199.84
  6. Step 6: Final answer
    x = 199.68

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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.