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Finding the Fourth Proportional to 162.96, 224 and 146.22

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Solution

The fourth proportional to 162.96, 224 and 146.22 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 224 = 146.22 : x
  2. Step 2: Convert to fraction form
    162.96/224 = 146.22/x
  3. Step 3: Cross multiply
    162.96x = 224 × 146.22
  4. Step 4: Simplify right side
    162.96x = 32,753.28
  5. Step 5: Solve for x
    x = 32,753.28/162.96
  6. Step 6: Final answer
    x = 200.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.