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Finding the Fourth Proportional to 588.95, 883.36 and 178.10

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Solution

The fourth proportional to 588.95, 883.36 and 178.10 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.95 : 883.36 = 178.10 : x
  2. Step 2: Convert to fraction form
    588.95/883.36 = 178.10/x
  3. Step 3: Cross multiply
    588.95x = 883.36 × 178.10
  4. Step 4: Simplify right side
    588.95x = 157,326.42
  5. Step 5: Solve for x
    x = 157,326.42/588.95
  6. Step 6: Final answer
    x = 267.13

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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.