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Finding the Fourth Proportional to 592.94, 889.41 and 160.09

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Solution

The fourth proportional to 592.94, 889.41 and 160.09 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.94 : 889.41 = 160.09 : x
  2. Step 2: Convert to fraction form
    592.94/889.41 = 160.09/x
  3. Step 3: Cross multiply
    592.94x = 889.41 × 160.09
  4. Step 4: Simplify right side
    592.94x = 142,385.65
  5. Step 5: Solve for x
    x = 142,385.65/592.94
  6. Step 6: Final answer
    x = 240.14

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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.