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Finding the Fourth Proportional to 298.65, 447.69 and 152.31

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Solution

The fourth proportional to 298.65, 447.69 and 152.31 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 447.69 = 152.31 : x
  2. Step 2: Convert to fraction form
    298.65/447.69 = 152.31/x
  3. Step 3: Cross multiply
    298.65x = 447.69 × 152.31
  4. Step 4: Simplify right side
    298.65x = 68,187.66
  5. Step 5: Solve for x
    x = 68,187.66/298.65
  6. Step 6: Final answer
    x = 228.32

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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.