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Finding the Fourth Proportional to 191.34, 263.52 and 176.22

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Solution

The fourth proportional to 191.34, 263.52 and 176.22 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.34 : 263.52 = 176.22 : x
  2. Step 2: Convert to fraction form
    191.34/263.52 = 176.22/x
  3. Step 3: Cross multiply
    191.34x = 263.52 × 176.22
  4. Step 4: Simplify right side
    191.34x = 46,437.49
  5. Step 5: Solve for x
    x = 46,437.49/191.34
  6. Step 6: Final answer
    x = 242.70

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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.