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Finding the Fourth Proportional to 277.70, 417.08 and 175.19

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Solution

The fourth proportional to 277.70, 417.08 and 175.19 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 417.08 = 175.19 : x
  2. Step 2: Convert to fraction form
    277.70/417.08 = 175.19/x
  3. Step 3: Cross multiply
    277.70x = 417.08 × 175.19
  4. Step 4: Simplify right side
    277.70x = 73,068.25
  5. Step 5: Solve for x
    x = 73,068.25/277.70
  6. Step 6: Final answer
    x = 263.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.