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Finding the Fourth Proportional to 199.32, 298.54 and 155.92

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Solution

The fourth proportional to 199.32, 298.54 and 155.92 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.32 : 298.54 = 155.92 : x
  2. Step 2: Convert to fraction form
    199.32/298.54 = 155.92/x
  3. Step 3: Cross multiply
    199.32x = 298.54 × 155.92
  4. Step 4: Simplify right side
    199.32x = 46,547.81
  5. Step 5: Solve for x
    x = 46,547.81/199.32
  6. Step 6: Final answer
    x = 233.53

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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.