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Finding the Fourth Proportional to 245.87, 368.93 and 188.06

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Solution

The fourth proportional to 245.87, 368.93 and 188.06 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.87 : 368.93 = 188.06 : x
  2. Step 2: Convert to fraction form
    245.87/368.93 = 188.06/x
  3. Step 3: Cross multiply
    245.87x = 368.93 × 188.06
  4. Step 4: Simplify right side
    245.87x = 69,379.13
  5. Step 5: Solve for x
    x = 69,379.13/245.87
  6. Step 6: Final answer
    x = 282.18

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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.