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Finding the Fourth Proportional to 210, 314.68 and 113.68

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Solution

The fourth proportional to 210, 314.68 and 113.68 is: 170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210 : 314.68 = 113.68 : x
  2. Step 2: Convert to fraction form
    210/314.68 = 113.68/x
  3. Step 3: Cross multiply
    210x = 314.68 × 113.68
  4. Step 4: Simplify right side
    210x = 35,772.82
  5. Step 5: Solve for x
    x = 35,772.82/210
  6. Step 6: Final answer
    x = 170.35

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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.