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Finding the Fourth Proportional to 215.07, 322.29 and 123.57

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Solution

The fourth proportional to 215.07, 322.29 and 123.57 is: 185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.07 : 322.29 = 123.57 : x
  2. Step 2: Convert to fraction form
    215.07/322.29 = 123.57/x
  3. Step 3: Cross multiply
    215.07x = 322.29 × 123.57
  4. Step 4: Simplify right side
    215.07x = 39,823.76
  5. Step 5: Solve for x
    x = 39,823.76/215.07
  6. Step 6: Final answer
    x = 185.17

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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.