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Finding the Fourth Proportional to 162.40, 225.58 and 157.84

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Solution

The fourth proportional to 162.40, 225.58 and 157.84 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.40 : 225.58 = 157.84 : x
  2. Step 2: Convert to fraction form
    162.40/225.58 = 157.84/x
  3. Step 3: Cross multiply
    162.40x = 225.58 × 157.84
  4. Step 4: Simplify right side
    162.40x = 35,605.55
  5. Step 5: Solve for x
    x = 35,605.55/162.40
  6. Step 6: Final answer
    x = 219.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.