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Finding the Fourth Proportional to 176.59, 264.90 and 61.05

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Solution

The fourth proportional to 176.59, 264.90 and 61.05 is: 91.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.59 : 264.90 = 61.05 : x
  2. Step 2: Convert to fraction form
    176.59/264.90 = 61.05/x
  3. Step 3: Cross multiply
    176.59x = 264.90 × 61.05
  4. Step 4: Simplify right side
    176.59x = 16,172.15
  5. Step 5: Solve for x
    x = 16,172.15/176.59
  6. Step 6: Final answer
    x = 91.58

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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.