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Finding the Fourth Proportional to 421.64, 632.06 and 147.54

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Solution

The fourth proportional to 421.64, 632.06 and 147.54 is: 221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 632.06 = 147.54 : x
  2. Step 2: Convert to fraction form
    421.64/632.06 = 147.54/x
  3. Step 3: Cross multiply
    421.64x = 632.06 × 147.54
  4. Step 4: Simplify right side
    421.64x = 93,254.13
  5. Step 5: Solve for x
    x = 93,254.13/421.64
  6. Step 6: Final answer
    x = 221.17

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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.