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Finding the Fourth Proportional to 532, 798 and 190.08

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Solution

The fourth proportional to 532, 798 and 190.08 is: 285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 798 = 190.08 : x
  2. Step 2: Convert to fraction form
    532/798 = 190.08/x
  3. Step 3: Cross multiply
    532x = 798 × 190.08
  4. Step 4: Simplify right side
    532x = 151,683.84
  5. Step 5: Solve for x
    x = 151,683.84/532
  6. Step 6: Final answer
    x = 285.12

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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.