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Finding the Fourth Proportional to 298.66, 448.34 and 136.35

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Solution

The fourth proportional to 298.66, 448.34 and 136.35 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.66 : 448.34 = 136.35 : x
  2. Step 2: Convert to fraction form
    298.66/448.34 = 136.35/x
  3. Step 3: Cross multiply
    298.66x = 448.34 × 136.35
  4. Step 4: Simplify right side
    298.66x = 61,131.16
  5. Step 5: Solve for x
    x = 61,131.16/298.66
  6. Step 6: Final answer
    x = 204.68

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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.