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Finding the Fourth Proportional to 308.10, 461.64 and 176.16

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Solution

The fourth proportional to 308.10, 461.64 and 176.16 is: 263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 461.64 = 176.16 : x
  2. Step 2: Convert to fraction form
    308.10/461.64 = 176.16/x
  3. Step 3: Cross multiply
    308.10x = 461.64 × 176.16
  4. Step 4: Simplify right side
    308.10x = 81,322.50
  5. Step 5: Solve for x
    x = 81,322.50/308.10
  6. Step 6: Final answer
    x = 263.95

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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.