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Finding the Fourth Proportional to 162.61, 245.30 and 159.23

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Solution

The fourth proportional to 162.61, 245.30 and 159.23 is: 240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 245.30 = 159.23 : x
  2. Step 2: Convert to fraction form
    162.61/245.30 = 159.23/x
  3. Step 3: Cross multiply
    162.61x = 245.30 × 159.23
  4. Step 4: Simplify right side
    162.61x = 39,058.94
  5. Step 5: Solve for x
    x = 39,058.94/162.61
  6. Step 6: Final answer
    x = 240.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.