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Finding the Fourth Proportional to 200.08, 299.88 and 176.08

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Solution

The fourth proportional to 200.08, 299.88 and 176.08 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.08 : 299.88 = 176.08 : x
  2. Step 2: Convert to fraction form
    200.08/299.88 = 176.08/x
  3. Step 3: Cross multiply
    200.08x = 299.88 × 176.08
  4. Step 4: Simplify right side
    200.08x = 52,802.87
  5. Step 5: Solve for x
    x = 52,802.87/200.08
  6. Step 6: Final answer
    x = 263.91

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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.