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Finding the Fourth Proportional to 534.94, 802.29 and 188.26

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Solution

The fourth proportional to 534.94, 802.29 and 188.26 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 802.29 = 188.26 : x
  2. Step 2: Convert to fraction form
    534.94/802.29 = 188.26/x
  3. Step 3: Cross multiply
    534.94x = 802.29 × 188.26
  4. Step 4: Simplify right side
    534.94x = 151,039.12
  5. Step 5: Solve for x
    x = 151,039.12/534.94
  6. Step 6: Final answer
    x = 282.35

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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.