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Finding the Fourth Proportional to 177.84, 266.77 and 56.08

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Solution

The fourth proportional to 177.84, 266.77 and 56.08 is: 84.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 266.77 = 56.08 : x
  2. Step 2: Convert to fraction form
    177.84/266.77 = 56.08/x
  3. Step 3: Cross multiply
    177.84x = 266.77 × 56.08
  4. Step 4: Simplify right side
    177.84x = 14,960.99
  5. Step 5: Solve for x
    x = 14,960.99/177.84
  6. Step 6: Final answer
    x = 84.13

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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.