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Finding the Fourth Proportional to 291.95, 438.06 and 147.66

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Solution

The fourth proportional to 291.95, 438.06 and 147.66 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.95 : 438.06 = 147.66 : x
  2. Step 2: Convert to fraction form
    291.95/438.06 = 147.66/x
  3. Step 3: Cross multiply
    291.95x = 438.06 × 147.66
  4. Step 4: Simplify right side
    291.95x = 64,683.94
  5. Step 5: Solve for x
    x = 64,683.94/291.95
  6. Step 6: Final answer
    x = 221.56

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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.