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Finding the Fourth Proportional to 210.07, 315.10 and 175.75

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Solution

The fourth proportional to 210.07, 315.10 and 175.75 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.07 : 315.10 = 175.75 : x
  2. Step 2: Convert to fraction form
    210.07/315.10 = 175.75/x
  3. Step 3: Cross multiply
    210.07x = 315.10 × 175.75
  4. Step 4: Simplify right side
    210.07x = 55,378.83
  5. Step 5: Solve for x
    x = 55,378.83/210.07
  6. Step 6: Final answer
    x = 263.62

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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.