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Finding the Fourth Proportional to 147.02, 218.74 and 146.54

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Solution

The fourth proportional to 147.02, 218.74 and 146.54 is: 218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 218.74 = 146.54 : x
  2. Step 2: Convert to fraction form
    147.02/218.74 = 146.54/x
  3. Step 3: Cross multiply
    147.02x = 218.74 × 146.54
  4. Step 4: Simplify right side
    147.02x = 32,054.16
  5. Step 5: Solve for x
    x = 32,054.16/147.02
  6. Step 6: Final answer
    x = 218.03

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Why These Related Problems?

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