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Finding the Fourth Proportional to 153.98, 210.62 and 153.36

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Solution

The fourth proportional to 153.98, 210.62 and 153.36 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 210.62 = 153.36 : x
  2. Step 2: Convert to fraction form
    153.98/210.62 = 153.36/x
  3. Step 3: Cross multiply
    153.98x = 210.62 × 153.36
  4. Step 4: Simplify right side
    153.98x = 32,299.92
  5. Step 5: Solve for x
    x = 32,299.92/153.98
  6. Step 6: Final answer
    x = 209.77

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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.