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Finding the Fourth Proportional to 332.15, 498.08 and 178.05

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Solution

The fourth proportional to 332.15, 498.08 and 178.05 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.15 : 498.08 = 178.05 : x
  2. Step 2: Convert to fraction form
    332.15/498.08 = 178.05/x
  3. Step 3: Cross multiply
    332.15x = 498.08 × 178.05
  4. Step 4: Simplify right side
    332.15x = 88,679.76
  5. Step 5: Solve for x
    x = 88,679.76/332.15
  6. Step 6: Final answer
    x = 266.99

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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.