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Finding the Fourth Proportional to 534.24, 800.88 and 192.16

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Solution

The fourth proportional to 534.24, 800.88 and 192.16 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 800.88 = 192.16 : x
  2. Step 2: Convert to fraction form
    534.24/800.88 = 192.16/x
  3. Step 3: Cross multiply
    534.24x = 800.88 × 192.16
  4. Step 4: Simplify right side
    534.24x = 153,897.10
  5. Step 5: Solve for x
    x = 153,897.10/534.24
  6. Step 6: Final answer
    x = 288.07

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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.