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Finding the Fourth Proportional to 366.65, 549.83 and 135.48

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Solution

The fourth proportional to 366.65, 549.83 and 135.48 is: 203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.65 : 549.83 = 135.48 : x
  2. Step 2: Convert to fraction form
    366.65/549.83 = 135.48/x
  3. Step 3: Cross multiply
    366.65x = 549.83 × 135.48
  4. Step 4: Simplify right side
    366.65x = 74,493.37
  5. Step 5: Solve for x
    x = 74,493.37/366.65
  6. Step 6: Final answer
    x = 203.17

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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.