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Finding the Fourth Proportional to 153.40, 210.41 and 153.40

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Solution

The fourth proportional to 153.40, 210.41 and 153.40 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.40 : 210.41 = 153.40 : x
  2. Step 2: Convert to fraction form
    153.40/210.41 = 153.40/x
  3. Step 3: Cross multiply
    153.40x = 210.41 × 153.40
  4. Step 4: Simplify right side
    153.40x = 32,276.89
  5. Step 5: Solve for x
    x = 32,276.89/153.40
  6. Step 6: Final answer
    x = 210.41

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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.