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Finding the Fourth Proportional to 421.89, 632.84 and 148.01

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Solution

The fourth proportional to 421.89, 632.84 and 148.01 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.89 : 632.84 = 148.01 : x
  2. Step 2: Convert to fraction form
    421.89/632.84 = 148.01/x
  3. Step 3: Cross multiply
    421.89x = 632.84 × 148.01
  4. Step 4: Simplify right side
    421.89x = 93,662.74
  5. Step 5: Solve for x
    x = 93,662.74/421.89
  6. Step 6: Final answer
    x = 222.01

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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.