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Finding the Fourth Proportional to 534.84, 802.17 and 188.43

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Solution

The fourth proportional to 534.84, 802.17 and 188.43 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 802.17 = 188.43 : x
  2. Step 2: Convert to fraction form
    534.84/802.17 = 188.43/x
  3. Step 3: Cross multiply
    534.84x = 802.17 × 188.43
  4. Step 4: Simplify right side
    534.84x = 151,152.89
  5. Step 5: Solve for x
    x = 151,152.89/534.84
  6. Step 6: Final answer
    x = 282.61

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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.