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Finding the Fourth Proportional to 388.58, 583.07 and 157.64

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Solution

The fourth proportional to 388.58, 583.07 and 157.64 is: 236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.58 : 583.07 = 157.64 : x
  2. Step 2: Convert to fraction form
    388.58/583.07 = 157.64/x
  3. Step 3: Cross multiply
    388.58x = 583.07 × 157.64
  4. Step 4: Simplify right side
    388.58x = 91,911.45
  5. Step 5: Solve for x
    x = 91,911.45/388.58
  6. Step 6: Final answer
    x = 236.53

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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.