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Finding the Fourth Proportional to 590.96, 886.26 and 180.02

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Solution

The fourth proportional to 590.96, 886.26 and 180.02 is: 269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 886.26 = 180.02 : x
  2. Step 2: Convert to fraction form
    590.96/886.26 = 180.02/x
  3. Step 3: Cross multiply
    590.96x = 886.26 × 180.02
  4. Step 4: Simplify right side
    590.96x = 159,544.53
  5. Step 5: Solve for x
    x = 159,544.53/590.96
  6. Step 6: Final answer
    x = 269.98

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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.