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Finding the Fourth Proportional to 295.46, 407.52 and 202.07

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Solution

The fourth proportional to 295.46, 407.52 and 202.07 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.46 : 407.52 = 202.07 : x
  2. Step 2: Convert to fraction form
    295.46/407.52 = 202.07/x
  3. Step 3: Cross multiply
    295.46x = 407.52 × 202.07
  4. Step 4: Simplify right side
    295.46x = 82,345.53
  5. Step 5: Solve for x
    x = 82,345.53/295.46
  6. Step 6: Final answer
    x = 278.71

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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.