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Finding the Fourth Proportional to 366.34, 505.54 and 218.96

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Solution

The fourth proportional to 366.34, 505.54 and 218.96 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.34 : 505.54 = 218.96 : x
  2. Step 2: Convert to fraction form
    366.34/505.54 = 218.96/x
  3. Step 3: Cross multiply
    366.34x = 505.54 × 218.96
  4. Step 4: Simplify right side
    366.34x = 110,693.04
  5. Step 5: Solve for x
    x = 110,693.04/366.34
  6. Step 6: Final answer
    x = 302.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.