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Finding the Fourth Proportional to 357.96, 537 and 114.46

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Solution

The fourth proportional to 357.96, 537 and 114.46 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 537 = 114.46 : x
  2. Step 2: Convert to fraction form
    357.96/537 = 114.46/x
  3. Step 3: Cross multiply
    357.96x = 537 × 114.46
  4. Step 4: Simplify right side
    357.96x = 61,465.02
  5. Step 5: Solve for x
    x = 61,465.02/357.96
  6. Step 6: Final answer
    x = 171.71

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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.