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Finding the Fourth Proportional to 298.64, 448.10 and 136.31

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Solution

The fourth proportional to 298.64, 448.10 and 136.31 is: 204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 448.10 = 136.31 : x
  2. Step 2: Convert to fraction form
    298.64/448.10 = 136.31/x
  3. Step 3: Cross multiply
    298.64x = 448.10 × 136.31
  4. Step 4: Simplify right side
    298.64x = 61,077.59
  5. Step 5: Solve for x
    x = 61,077.59/298.64
  6. Step 6: Final answer
    x = 204.52

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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.