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Finding the Fourth Proportional to 210.15, 314.76 and 173.50

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Solution

The fourth proportional to 210.15, 314.76 and 173.50 is: 259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.15 : 314.76 = 173.50 : x
  2. Step 2: Convert to fraction form
    210.15/314.76 = 173.50/x
  3. Step 3: Cross multiply
    210.15x = 314.76 × 173.50
  4. Step 4: Simplify right side
    210.15x = 54,610.86
  5. Step 5: Solve for x
    x = 54,610.86/210.15
  6. Step 6: Final answer
    x = 259.87

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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.