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Finding the Fourth Proportional to 210.68, 314.34 and 179.90

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Solution

The fourth proportional to 210.68, 314.34 and 179.90 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 314.34 = 179.90 : x
  2. Step 2: Convert to fraction form
    210.68/314.34 = 179.90/x
  3. Step 3: Cross multiply
    210.68x = 314.34 × 179.90
  4. Step 4: Simplify right side
    210.68x = 56,549.77
  5. Step 5: Solve for x
    x = 56,549.77/210.68
  6. Step 6: Final answer
    x = 268.42

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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.