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Finding the Fourth Proportional to 438.38, 657.65 and 178.37

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Solution

The fourth proportional to 438.38, 657.65 and 178.37 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.38 : 657.65 = 178.37 : x
  2. Step 2: Convert to fraction form
    438.38/657.65 = 178.37/x
  3. Step 3: Cross multiply
    438.38x = 657.65 × 178.37
  4. Step 4: Simplify right side
    438.38x = 117,307.12
  5. Step 5: Solve for x
    x = 117,307.12/438.38
  6. Step 6: Final answer
    x = 267.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.