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Finding the Fourth Proportional to 210.26, 315.53 and 88.53

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Solution

The fourth proportional to 210.26, 315.53 and 88.53 is: 132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.26 : 315.53 = 88.53 : x
  2. Step 2: Convert to fraction form
    210.26/315.53 = 88.53/x
  3. Step 3: Cross multiply
    210.26x = 315.53 × 88.53
  4. Step 4: Simplify right side
    210.26x = 27,933.62
  5. Step 5: Solve for x
    x = 27,933.62/210.26
  6. Step 6: Final answer
    x = 132.85

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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.