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Finding the Fourth Proportional to 238.53, 357.64 and 101.55

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Solution

The fourth proportional to 238.53, 357.64 and 101.55 is: 152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.53 : 357.64 = 101.55 : x
  2. Step 2: Convert to fraction form
    238.53/357.64 = 101.55/x
  3. Step 3: Cross multiply
    238.53x = 357.64 × 101.55
  4. Step 4: Simplify right side
    238.53x = 36,318.34
  5. Step 5: Solve for x
    x = 36,318.34/238.53
  6. Step 6: Final answer
    x = 152.26

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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.