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Finding the Fourth Proportional to 182.60, 253.16 and 176.60

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Solution

The fourth proportional to 182.60, 253.16 and 176.60 is: 244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 253.16 = 176.60 : x
  2. Step 2: Convert to fraction form
    182.60/253.16 = 176.60/x
  3. Step 3: Cross multiply
    182.60x = 253.16 × 176.60
  4. Step 4: Simplify right side
    182.60x = 44,708.06
  5. Step 5: Solve for x
    x = 44,708.06/182.60
  6. Step 6: Final answer
    x = 244.84

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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.