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Finding the Fourth Proportional to 162.76, 224.20 and 152.68

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Solution

The fourth proportional to 162.76, 224.20 and 152.68 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.76 : 224.20 = 152.68 : x
  2. Step 2: Convert to fraction form
    162.76/224.20 = 152.68/x
  3. Step 3: Cross multiply
    162.76x = 224.20 × 152.68
  4. Step 4: Simplify right side
    162.76x = 34,230.86
  5. Step 5: Solve for x
    x = 34,230.86/162.76
  6. Step 6: Final answer
    x = 210.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.