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Finding the Fourth Proportional to 173.34, 238.71 and 156.06

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Solution

The fourth proportional to 173.34, 238.71 and 156.06 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.34 : 238.71 = 156.06 : x
  2. Step 2: Convert to fraction form
    173.34/238.71 = 156.06/x
  3. Step 3: Cross multiply
    173.34x = 238.71 × 156.06
  4. Step 4: Simplify right side
    173.34x = 37,253.08
  5. Step 5: Solve for x
    x = 37,253.08/173.34
  6. Step 6: Final answer
    x = 214.91

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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.