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Finding the Fourth Proportional to 176.84, 243.96 and 152.54

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Solution

The fourth proportional to 176.84, 243.96 and 152.54 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.84 : 243.96 = 152.54 : x
  2. Step 2: Convert to fraction form
    176.84/243.96 = 152.54/x
  3. Step 3: Cross multiply
    176.84x = 243.96 × 152.54
  4. Step 4: Simplify right side
    176.84x = 37,213.66
  5. Step 5: Solve for x
    x = 37,213.66/176.84
  6. Step 6: Final answer
    x = 210.44

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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.