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Finding the Fourth Proportional to 652.56, 978.53 and 190.22

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Solution

The fourth proportional to 652.56, 978.53 and 190.22 is: 285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 978.53 = 190.22 : x
  2. Step 2: Convert to fraction form
    652.56/978.53 = 190.22/x
  3. Step 3: Cross multiply
    652.56x = 978.53 × 190.22
  4. Step 4: Simplify right side
    652.56x = 186,139.46
  5. Step 5: Solve for x
    x = 186,139.46/652.56
  6. Step 6: Final answer
    x = 285.25

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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.