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Finding the Fourth Proportional to 307.90, 461.53 and 178.16

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Solution

The fourth proportional to 307.90, 461.53 and 178.16 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 461.53 = 178.16 : x
  2. Step 2: Convert to fraction form
    307.90/461.53 = 178.16/x
  3. Step 3: Cross multiply
    307.90x = 461.53 × 178.16
  4. Step 4: Simplify right side
    307.90x = 82,224.10
  5. Step 5: Solve for x
    x = 82,224.10/307.90
  6. Step 6: Final answer
    x = 267.05

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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.