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Finding the Fourth Proportional to 173.43, 238.79 and 152.57

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Solution

The fourth proportional to 173.43, 238.79 and 152.57 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.43 : 238.79 = 152.57 : x
  2. Step 2: Convert to fraction form
    173.43/238.79 = 152.57/x
  3. Step 3: Cross multiply
    173.43x = 238.79 × 152.57
  4. Step 4: Simplify right side
    173.43x = 36,430.23
  5. Step 5: Solve for x
    x = 36,430.23/173.43
  6. Step 6: Final answer
    x = 210.06

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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.