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Finding the Fourth Proportional to 277.32, 416.36 and 155.67

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Solution

The fourth proportional to 277.32, 416.36 and 155.67 is: 233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 416.36 = 155.67 : x
  2. Step 2: Convert to fraction form
    277.32/416.36 = 155.67/x
  3. Step 3: Cross multiply
    277.32x = 416.36 × 155.67
  4. Step 4: Simplify right side
    277.32x = 64,814.76
  5. Step 5: Solve for x
    x = 64,814.76/277.32
  6. Step 6: Final answer
    x = 233.72

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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.