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Finding the Fourth Proportional to 153.66, 210.39 and 153.12

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Solution

The fourth proportional to 153.66, 210.39 and 153.12 is: 209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 210.39 = 153.12 : x
  2. Step 2: Convert to fraction form
    153.66/210.39 = 153.12/x
  3. Step 3: Cross multiply
    153.66x = 210.39 × 153.12
  4. Step 4: Simplify right side
    153.66x = 32,214.92
  5. Step 5: Solve for x
    x = 32,214.92/153.66
  6. Step 6: Final answer
    x = 209.65

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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.