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Finding the Fourth Proportional to 210.45, 314.57 and 182.81

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Solution

The fourth proportional to 210.45, 314.57 and 182.81 is: 273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.45 : 314.57 = 182.81 : x
  2. Step 2: Convert to fraction form
    210.45/314.57 = 182.81/x
  3. Step 3: Cross multiply
    210.45x = 314.57 × 182.81
  4. Step 4: Simplify right side
    210.45x = 57,506.54
  5. Step 5: Solve for x
    x = 57,506.54/210.45
  6. Step 6: Final answer
    x = 273.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.