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Finding the Fourth Proportional to 189.22, 260.26 and 152.30

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Solution

The fourth proportional to 189.22, 260.26 and 152.30 is: 209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 260.26 = 152.30 : x
  2. Step 2: Convert to fraction form
    189.22/260.26 = 152.30/x
  3. Step 3: Cross multiply
    189.22x = 260.26 × 152.30
  4. Step 4: Simplify right side
    189.22x = 39,637.60
  5. Step 5: Solve for x
    x = 39,637.60/189.22
  6. Step 6: Final answer
    x = 209.48

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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.