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Finding the Fourth Proportional to 388.86, 536.65 and 223.12

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Solution

The fourth proportional to 388.86, 536.65 and 223.12 is: 307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.86 : 536.65 = 223.12 : x
  2. Step 2: Convert to fraction form
    388.86/536.65 = 223.12/x
  3. Step 3: Cross multiply
    388.86x = 536.65 × 223.12
  4. Step 4: Simplify right side
    388.86x = 119,737.35
  5. Step 5: Solve for x
    x = 119,737.35/388.86
  6. Step 6: Final answer
    x = 307.92

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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.