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Finding the Fourth Proportional to 420.32, 630.66 and 146.45

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Solution

The fourth proportional to 420.32, 630.66 and 146.45 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 630.66 = 146.45 : x
  2. Step 2: Convert to fraction form
    420.32/630.66 = 146.45/x
  3. Step 3: Cross multiply
    420.32x = 630.66 × 146.45
  4. Step 4: Simplify right side
    420.32x = 92,360.16
  5. Step 5: Solve for x
    x = 92,360.16/420.32
  6. Step 6: Final answer
    x = 219.74

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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.