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Finding the Fourth Proportional to 212.76, 317.59 and 182.52

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Solution

The fourth proportional to 212.76, 317.59 and 182.52 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.76 : 317.59 = 182.52 : x
  2. Step 2: Convert to fraction form
    212.76/317.59 = 182.52/x
  3. Step 3: Cross multiply
    212.76x = 317.59 × 182.52
  4. Step 4: Simplify right side
    212.76x = 57,966.07
  5. Step 5: Solve for x
    x = 57,966.07/212.76
  6. Step 6: Final answer
    x = 272.45

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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.