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Finding the Fourth Proportional to 176.37, 242.78 and 152.73

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Solution

The fourth proportional to 176.37, 242.78 and 152.73 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.37 : 242.78 = 152.73 : x
  2. Step 2: Convert to fraction form
    176.37/242.78 = 152.73/x
  3. Step 3: Cross multiply
    176.37x = 242.78 × 152.73
  4. Step 4: Simplify right side
    176.37x = 37,078.69
  5. Step 5: Solve for x
    x = 37,078.69/176.37
  6. Step 6: Final answer
    x = 210.24

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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.