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Finding the Fourth Proportional to 212.64, 317.35 and 207.17

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Solution

The fourth proportional to 212.64, 317.35 and 207.17 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.64 : 317.35 = 207.17 : x
  2. Step 2: Convert to fraction form
    212.64/317.35 = 207.17/x
  3. Step 3: Cross multiply
    212.64x = 317.35 × 207.17
  4. Step 4: Simplify right side
    212.64x = 65,745.40
  5. Step 5: Solve for x
    x = 65,745.40/212.64
  6. Step 6: Final answer
    x = 309.19

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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.