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Finding the Fourth Proportional to 652.45, 978.70 and 190.22

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Solution

The fourth proportional to 652.45, 978.70 and 190.22 is: 285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.45 : 978.70 = 190.22 : x
  2. Step 2: Convert to fraction form
    652.45/978.70 = 190.22/x
  3. Step 3: Cross multiply
    652.45x = 978.70 × 190.22
  4. Step 4: Simplify right side
    652.45x = 186,168.45
  5. Step 5: Solve for x
    x = 186,168.45/652.45
  6. Step 6: Final answer
    x = 285.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.