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Finding the Fourth Proportional to 210.38, 314.65 and 182.93

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Solution

The fourth proportional to 210.38, 314.65 and 182.93 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.38 : 314.65 = 182.93 : x
  2. Step 2: Convert to fraction form
    210.38/314.65 = 182.93/x
  3. Step 3: Cross multiply
    210.38x = 314.65 × 182.93
  4. Step 4: Simplify right side
    210.38x = 57,559.46
  5. Step 5: Solve for x
    x = 57,559.46/210.38
  6. Step 6: Final answer
    x = 273.59

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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.