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Finding the Fourth Proportional to 388.02, 582.10 and 171.60

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Solution

The fourth proportional to 388.02, 582.10 and 171.60 is: 257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.02 : 582.10 = 171.60 : x
  2. Step 2: Convert to fraction form
    388.02/582.10 = 171.60/x
  3. Step 3: Cross multiply
    388.02x = 582.10 × 171.60
  4. Step 4: Simplify right side
    388.02x = 99,888.36
  5. Step 5: Solve for x
    x = 99,888.36/388.02
  6. Step 6: Final answer
    x = 257.43

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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.