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Finding the Fourth Proportional to 184.07, 253.36 and 152.63

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Solution

The fourth proportional to 184.07, 253.36 and 152.63 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.07 : 253.36 = 152.63 : x
  2. Step 2: Convert to fraction form
    184.07/253.36 = 152.63/x
  3. Step 3: Cross multiply
    184.07x = 253.36 × 152.63
  4. Step 4: Simplify right side
    184.07x = 38,670.59
  5. Step 5: Solve for x
    x = 38,670.59/184.07
  6. Step 6: Final answer
    x = 210.08

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Why These Related Problems?

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