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Finding the Fourth Proportional to 202.95, 304.53 and 94.74

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Solution

The fourth proportional to 202.95, 304.53 and 94.74 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 304.53 = 94.74 : x
  2. Step 2: Convert to fraction form
    202.95/304.53 = 94.74/x
  3. Step 3: Cross multiply
    202.95x = 304.53 × 94.74
  4. Step 4: Simplify right side
    202.95x = 28,851.17
  5. Step 5: Solve for x
    x = 28,851.17/202.95
  6. Step 6: Final answer
    x = 142.16

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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.