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Finding the Fourth Proportional to 162.96, 245.06 and 137.45

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Solution

The fourth proportional to 162.96, 245.06 and 137.45 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 245.06 = 137.45 : x
  2. Step 2: Convert to fraction form
    162.96/245.06 = 137.45/x
  3. Step 3: Cross multiply
    162.96x = 245.06 × 137.45
  4. Step 4: Simplify right side
    162.96x = 33,681.58
  5. Step 5: Solve for x
    x = 33,681.58/162.96
  6. Step 6: Final answer
    x = 206.69

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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.