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Finding the Fourth Proportional to 210.35, 314.91 and 145.19

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Solution

The fourth proportional to 210.35, 314.91 and 145.19 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.35 : 314.91 = 145.19 : x
  2. Step 2: Convert to fraction form
    210.35/314.91 = 145.19/x
  3. Step 3: Cross multiply
    210.35x = 314.91 × 145.19
  4. Step 4: Simplify right side
    210.35x = 45,722.98
  5. Step 5: Solve for x
    x = 45,722.98/210.35
  6. Step 6: Final answer
    x = 217.37

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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.