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Finding the Fourth Proportional to 191.95, 265.08 and 147.01

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Solution

The fourth proportional to 191.95, 265.08 and 147.01 is: 203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.95 : 265.08 = 147.01 : x
  2. Step 2: Convert to fraction form
    191.95/265.08 = 147.01/x
  3. Step 3: Cross multiply
    191.95x = 265.08 × 147.01
  4. Step 4: Simplify right side
    191.95x = 38,969.41
  5. Step 5: Solve for x
    x = 38,969.41/191.95
  6. Step 6: Final answer
    x = 203.02

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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.