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Finding the Fourth Proportional to 162.56, 242.88 and 135.36

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Solution

The fourth proportional to 162.56, 242.88 and 135.36 is: 202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 242.88 = 135.36 : x
  2. Step 2: Convert to fraction form
    162.56/242.88 = 135.36/x
  3. Step 3: Cross multiply
    162.56x = 242.88 × 135.36
  4. Step 4: Simplify right side
    162.56x = 32,876.24
  5. Step 5: Solve for x
    x = 32,876.24/162.56
  6. Step 6: Final answer
    x = 202.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.