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Finding the Fourth Proportional to 210.76, 315.96 and 146.68

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Solution

The fourth proportional to 210.76, 315.96 and 146.68 is: 219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 315.96 = 146.68 : x
  2. Step 2: Convert to fraction form
    210.76/315.96 = 146.68/x
  3. Step 3: Cross multiply
    210.76x = 315.96 × 146.68
  4. Step 4: Simplify right side
    210.76x = 46,345.01
  5. Step 5: Solve for x
    x = 46,345.01/210.76
  6. Step 6: Final answer
    x = 219.89

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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.