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Finding the Fourth Proportional to 154.02, 229.60 and 146.32

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Solution

The fourth proportional to 154.02, 229.60 and 146.32 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 229.60 = 146.32 : x
  2. Step 2: Convert to fraction form
    154.02/229.60 = 146.32/x
  3. Step 3: Cross multiply
    154.02x = 229.60 × 146.32
  4. Step 4: Simplify right side
    154.02x = 33,595.44
  5. Step 5: Solve for x
    x = 33,595.44/154.02
  6. Step 6: Final answer
    x = 218.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.