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Finding the Fourth Proportional to 438.03, 657.31 and 178.00

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Solution

The fourth proportional to 438.03, 657.31 and 178.00 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.03 : 657.31 = 178.00 : x
  2. Step 2: Convert to fraction form
    438.03/657.31 = 178.00/x
  3. Step 3: Cross multiply
    438.03x = 657.31 × 178.00
  4. Step 4: Simplify right side
    438.03x = 116,999.09
  5. Step 5: Solve for x
    x = 116,999.09/438.03
  6. Step 6: Final answer
    x = 267.10

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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.