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Finding the Fourth Proportional to 200.48, 299.28 and 176.18

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Solution

The fourth proportional to 200.48, 299.28 and 176.18 is: 263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.48 : 299.28 = 176.18 : x
  2. Step 2: Convert to fraction form
    200.48/299.28 = 176.18/x
  3. Step 3: Cross multiply
    200.48x = 299.28 × 176.18
  4. Step 4: Simplify right side
    200.48x = 52,727.15
  5. Step 5: Solve for x
    x = 52,727.15/200.48
  6. Step 6: Final answer
    x = 263.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.