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Finding the Fourth Proportional to 162.34, 244.80 and 160.58

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Solution

The fourth proportional to 162.34, 244.80 and 160.58 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.34 : 244.80 = 160.58 : x
  2. Step 2: Convert to fraction form
    162.34/244.80 = 160.58/x
  3. Step 3: Cross multiply
    162.34x = 244.80 × 160.58
  4. Step 4: Simplify right side
    162.34x = 39,309.98
  5. Step 5: Solve for x
    x = 39,309.98/162.34
  6. Step 6: Final answer
    x = 242.15

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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.