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Finding the Fourth Proportional to 421.94, 632.98 and 148.06

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Solution

The fourth proportional to 421.94, 632.98 and 148.06 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 632.98 = 148.06 : x
  2. Step 2: Convert to fraction form
    421.94/632.98 = 148.06/x
  3. Step 3: Cross multiply
    421.94x = 632.98 × 148.06
  4. Step 4: Simplify right side
    421.94x = 93,720.00
  5. Step 5: Solve for x
    x = 93,720.00/421.94
  6. Step 6: Final answer
    x = 222.12

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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.