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Finding the Fourth Proportional to 561.02, 841.53 and 150.20

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Solution

The fourth proportional to 561.02, 841.53 and 150.20 is: 225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.02 : 841.53 = 150.20 : x
  2. Step 2: Convert to fraction form
    561.02/841.53 = 150.20/x
  3. Step 3: Cross multiply
    561.02x = 841.53 × 150.20
  4. Step 4: Simplify right side
    561.02x = 126,397.81
  5. Step 5: Solve for x
    x = 126,397.81/561.02
  6. Step 6: Final answer
    x = 225.30

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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.