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Finding the Fourth Proportional to 199.61, 298.63 and 176.52

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Solution

The fourth proportional to 199.61, 298.63 and 176.52 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.61 : 298.63 = 176.52 : x
  2. Step 2: Convert to fraction form
    199.61/298.63 = 176.52/x
  3. Step 3: Cross multiply
    199.61x = 298.63 × 176.52
  4. Step 4: Simplify right side
    199.61x = 52,714.17
  5. Step 5: Solve for x
    x = 52,714.17/199.61
  6. Step 6: Final answer
    x = 264.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.