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Finding the Fourth Proportional to 593.58, 890.34 and 160.74

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Solution

The fourth proportional to 593.58, 890.34 and 160.74 is: 241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.58 : 890.34 = 160.74 : x
  2. Step 2: Convert to fraction form
    593.58/890.34 = 160.74/x
  3. Step 3: Cross multiply
    593.58x = 890.34 × 160.74
  4. Step 4: Simplify right side
    593.58x = 143,113.25
  5. Step 5: Solve for x
    x = 143,113.25/593.58
  6. Step 6: Final answer
    x = 241.10

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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.