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Finding the Fourth Proportional to 228.07, 342.17 and 176.77

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Solution

The fourth proportional to 228.07, 342.17 and 176.77 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.07 : 342.17 = 176.77 : x
  2. Step 2: Convert to fraction form
    228.07/342.17 = 176.77/x
  3. Step 3: Cross multiply
    228.07x = 342.17 × 176.77
  4. Step 4: Simplify right side
    228.07x = 60,485.39
  5. Step 5: Solve for x
    x = 60,485.39/228.07
  6. Step 6: Final answer
    x = 265.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.