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Finding the Fourth Proportional to 152.40, 209.04 and 152.40

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Solution

The fourth proportional to 152.40, 209.04 and 152.40 is: 209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 209.04 = 152.40 : x
  2. Step 2: Convert to fraction form
    152.40/209.04 = 152.40/x
  3. Step 3: Cross multiply
    152.40x = 209.04 × 152.40
  4. Step 4: Simplify right side
    152.40x = 31,857.70
  5. Step 5: Solve for x
    x = 31,857.70/152.40
  6. Step 6: Final answer
    x = 209.04

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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.