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Finding the Fourth Proportional to 438.81, 657.64 and 178.51

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Solution

The fourth proportional to 438.81, 657.64 and 178.51 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.81 : 657.64 = 178.51 : x
  2. Step 2: Convert to fraction form
    438.81/657.64 = 178.51/x
  3. Step 3: Cross multiply
    438.81x = 657.64 × 178.51
  4. Step 4: Simplify right side
    438.81x = 117,392.25
  5. Step 5: Solve for x
    x = 117,392.25/438.81
  6. Step 6: Final answer
    x = 267.53

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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.