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Finding the Fourth Proportional to 176.77, 245.62 and 174.87

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Solution

The fourth proportional to 176.77, 245.62 and 174.87 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 245.62 = 174.87 : x
  2. Step 2: Convert to fraction form
    176.77/245.62 = 174.87/x
  3. Step 3: Cross multiply
    176.77x = 245.62 × 174.87
  4. Step 4: Simplify right side
    176.77x = 42,951.79
  5. Step 5: Solve for x
    x = 42,951.79/176.77
  6. Step 6: Final answer
    x = 242.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.