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Finding the Fourth Proportional to 163.48, 225.70 and 152.60

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Solution

The fourth proportional to 163.48, 225.70 and 152.60 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 225.70 = 152.60 : x
  2. Step 2: Convert to fraction form
    163.48/225.70 = 152.60/x
  3. Step 3: Cross multiply
    163.48x = 225.70 × 152.60
  4. Step 4: Simplify right side
    163.48x = 34,441.82
  5. Step 5: Solve for x
    x = 34,441.82/163.48
  6. Step 6: Final answer
    x = 210.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.