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Finding the Fourth Proportional to 388.82, 536.62 and 223.10

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Solution

The fourth proportional to 388.82, 536.62 and 223.10 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.82 : 536.62 = 223.10 : x
  2. Step 2: Convert to fraction form
    388.82/536.62 = 223.10/x
  3. Step 3: Cross multiply
    388.82x = 536.62 × 223.10
  4. Step 4: Simplify right side
    388.82x = 119,719.92
  5. Step 5: Solve for x
    x = 119,719.92/388.82
  6. Step 6: Final answer
    x = 307.91

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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.