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Finding the Fourth Proportional to 357.26, 492.89 and 202.01

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Solution

The fourth proportional to 357.26, 492.89 and 202.01 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.26 : 492.89 = 202.01 : x
  2. Step 2: Convert to fraction form
    357.26/492.89 = 202.01/x
  3. Step 3: Cross multiply
    357.26x = 492.89 × 202.01
  4. Step 4: Simplify right side
    357.26x = 99,565.23
  5. Step 5: Solve for x
    x = 99,565.23/357.26
  6. Step 6: Final answer
    x = 278.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.