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Finding the Fourth Proportional to 184.70, 253.52 and 176.78

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Solution

The fourth proportional to 184.70, 253.52 and 176.78 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.70 : 253.52 = 176.78 : x
  2. Step 2: Convert to fraction form
    184.70/253.52 = 176.78/x
  3. Step 3: Cross multiply
    184.70x = 253.52 × 176.78
  4. Step 4: Simplify right side
    184.70x = 44,815.11
  5. Step 5: Solve for x
    x = 44,815.11/184.70
  6. Step 6: Final answer
    x = 242.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.