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Finding the Fourth Proportional to 302.66, 417.57 and 186.20

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Solution

The fourth proportional to 302.66, 417.57 and 186.20 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.66 : 417.57 = 186.20 : x
  2. Step 2: Convert to fraction form
    302.66/417.57 = 186.20/x
  3. Step 3: Cross multiply
    302.66x = 417.57 × 186.20
  4. Step 4: Simplify right side
    302.66x = 77,751.53
  5. Step 5: Solve for x
    x = 77,751.53/302.66
  6. Step 6: Final answer
    x = 256.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.