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Finding the Fourth Proportional to 155.64, 214.67 and 148.74

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Solution

The fourth proportional to 155.64, 214.67 and 148.74 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.64 : 214.67 = 148.74 : x
  2. Step 2: Convert to fraction form
    155.64/214.67 = 148.74/x
  3. Step 3: Cross multiply
    155.64x = 214.67 × 148.74
  4. Step 4: Simplify right side
    155.64x = 31,930.02
  5. Step 5: Solve for x
    x = 31,930.02/155.64
  6. Step 6: Final answer
    x = 205.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.