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Finding the Fourth Proportional to 593.06, 889.64 and 160.22

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Solution

The fourth proportional to 593.06, 889.64 and 160.22 is: 240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.06 : 889.64 = 160.22 : x
  2. Step 2: Convert to fraction form
    593.06/889.64 = 160.22/x
  3. Step 3: Cross multiply
    593.06x = 889.64 × 160.22
  4. Step 4: Simplify right side
    593.06x = 142,538.12
  5. Step 5: Solve for x
    x = 142,538.12/593.06
  6. Step 6: Final answer
    x = 240.34

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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.