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Finding the Fourth Proportional to 219.04, 302.42 and 152.63

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Solution

The fourth proportional to 219.04, 302.42 and 152.63 is: 210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.04 : 302.42 = 152.63 : x
  2. Step 2: Convert to fraction form
    219.04/302.42 = 152.63/x
  3. Step 3: Cross multiply
    219.04x = 302.42 × 152.63
  4. Step 4: Simplify right side
    219.04x = 46,157.80
  5. Step 5: Solve for x
    x = 46,157.80/219.04
  6. Step 6: Final answer
    x = 210.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.