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Finding the Fourth Proportional to 176.34, 243.35 and 110.82

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Solution

The fourth proportional to 176.34, 243.35 and 110.82 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 243.35 = 110.82 : x
  2. Step 2: Convert to fraction form
    176.34/243.35 = 110.82/x
  3. Step 3: Cross multiply
    176.34x = 243.35 × 110.82
  4. Step 4: Simplify right side
    176.34x = 26,968.05
  5. Step 5: Solve for x
    x = 26,968.05/176.34
  6. Step 6: Final answer
    x = 152.93

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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.