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Finding the Fourth Proportional to 420.50, 630.84 and 164

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Solution

The fourth proportional to 420.50, 630.84 and 164 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 630.84 = 164 : x
  2. Step 2: Convert to fraction form
    420.50/630.84 = 164/x
  3. Step 3: Cross multiply
    420.50x = 630.84 × 164
  4. Step 4: Simplify right side
    420.50x = 103,457.76
  5. Step 5: Solve for x
    x = 103,457.76/420.50
  6. Step 6: Final answer
    x = 246.04

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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.