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Finding the Fourth Proportional to 561.26, 841.75 and 176.51

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Solution

The fourth proportional to 561.26, 841.75 and 176.51 is: 264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.26 : 841.75 = 176.51 : x
  2. Step 2: Convert to fraction form
    561.26/841.75 = 176.51/x
  3. Step 3: Cross multiply
    561.26x = 841.75 × 176.51
  4. Step 4: Simplify right side
    561.26x = 148,572.64
  5. Step 5: Solve for x
    x = 148,572.64/561.26
  6. Step 6: Final answer
    x = 264.72

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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.